Name: ___________________Date:___________________

 Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

### High School Mathematics6.20 Square Roots of Algebraic Expressions Review - II

 Square roots of Algebraic Expressions Review Test
 Q 1: Find the product of the roots of 2x2 + 7x + 6 = 0.3-32/5 Q 2: How much is subtracted from 4x4 + 12x3 + 17x2 + 2x + 7 to make it perfect square.6532 Q 3: If one root of 2x2 - (7+a)x - 15 = 0 is 5 find the value of a.4356 Q 4: 3x3 - 6x2y + 3xy2 + 7y3, is this a homogeneous equation?truefalse Q 5: x3 + y3 + x2 + y2 + x + y, is this symmetry or not.NoYes Q 6: Find the value of a and b so that 9x4 + 6x3 - 17x2 - ax + b is a perfect square.a = 8 and b = 7a = 7 and b = 8a = 6 and b = 9a = 9 and b = 6 Q 7: Expand, Õ (x + c). (Variables a, b and c)(x + a) + (x + b) + (x + c)(x + a)(x + b)(x + c)(x + a)/(x + b)*(x + c)(x + a)(x + b) Q 8: Find the nature of the roots of the equation x2 - 7x + 3 = 0.Real and equalReal and distinctComplex and distinct Q 9: Find the nature of the roots of the equation 3x2 - 7x + 3 = 0.Complex and distinctReal and equalReal and distinct Q 10: Solve, 2x4 - 9x3 + 14x2 - 9x + 2 = 0.1,2 and 1/21,1/2 and 2/3None of these1,2/3 and 3 Q 11: Find the square root of (x2 + 10x + 16)(x2 + 11x + 24)(x2 + 5x + 6).(x + 2)(x + 8)(x + 3)(x + 2)(x + 8)(x - 3)(x - 2)(x + 8)(x + 3)(x + 2)(x - 8)(x + 3) Q 12: Find the square root of x4 - 4x3 + 8x2 - 8x + 4.x2 + 2x + 2x2 - 2x - 2x2 - 2x + 2x2 + 2x - 2 Q 13: Solve, 6x4 - x2 - 2 = 0.Ö(-1/2) and Ö(-2/3)Ö(1/2) and Ö(2/3)Ö(-1/2) and Ö(2/3) Q 14: Find the square root of the equation 4x4 + 8x3 + 9x2 + 4x + 4 = 0 using undetermind method.2x2 + x + 22x2 - x + 22x2 + 2x + 22x2 + x + 1 Q 15: x3 + 3x2y + xy2 + y3, is this equation symmetry or not?YesNo Q 16: Find the square root of x4 + 6x3 + 15x2 + 18x + 9.x2 + 3x + 3x2 - 3x + 3x + 3x2 + 3 Q 17: Find the square root of (6x2 + 9x - 6)(2x2 + 11x + 12)(3x2 + 10x - 8).(2x - 3)(3x - 2)(x + 4)(2x + 3)(3x - 2)(x + 4)(2x + 3)(3x - 2)(x - 4)(2x + 3)(3x + 2)(x + 4) Q 18: What is the first degree expression to be subtracted from 9x4 - 12x3 + 12x2 - 9x + 13.2x - 42x + 43x - 43x + 4 Q 19: Find the square root of 1296x6y4.36x4y36x3y236x2y3 Q 20: Solve, 12x4 + 10x2 + 2 = 0Ö(-1/2) and Ö(--1/3)Ö(1/2) and Ö(-1/3)Ö(-1/2) and Ö(-1/3) Q 21: If one root of 6x2 - (21+a)x + 25 = 0 is 5/2 find the value of a.7564 Q 22: The product of two symmetric expressions is ______.symmetricnot symmetric Q 23: Solve, 6x2 + 13x + 5 = 0.-5/3 and -1/2-5/3 and 1/25/3 and -1/25/3 and 1/2 Q 24: Expand, å a2b. (Variables 'a' and 'b')b2aa2ba2b + b2aa2b + ba Q 25: Find the square root of 16x2y2z4.4x2yz4xy2z4xyz2 Q 26: Find the square root of (12x2 + 23x + 10)(15x2 + 13x + 2)(20x2 + 29x + 5).(4x + 3)(3x + 2)(5x + 1)(4x + 5)(3x + 2)(5x + 1)(4x + 5)(3x + 2)(5x + 2)(4x + 5)(3x + 4)(5x + 1) Q 27: 5x4 - 3x3 + 7x2 - 4x + 2 = 0, is this reciprocal requation or not.YesNo Q 28: Find the quadratic equation whose roots are 9 and 3.x2 - 6x + 27x2 - 12x + 27x2 - 12x - 27x2 + 12x + 27 Q 29: 3x4 - 5x3 + 3x2 - 4x2 + 5 = 0, is this reciprocal requation or not.YesNo Q 30: How much is subtracted from 16x4 - 24x3 - 23x2 + 24x + 28 to make it perfect square.1610128 Q 31: Find the value of a and b so that x4 - 6x3 + 5x2 + ax + b is a perfect square.a = 8 and b = 7a = 5 and b = 8a = 15 and b = 5a = 12 and b = 4 Q 32: Find the square root of 16x4 - 24x3 - 23x2 + 24x + 16.4x2 - 3x - 44x2 + 3x - 44x2 - 3x + 4 Q 33: Find the nature of the roots of the equation 2x2 - 3x + 7 = 0.Real and equalComplex and distinctReal and distinct Q 34: Solve, 9x4 - 3x2 - 2 = 0.Ö(-1/3) and Ö(-2/3)Ö(1/3) and Ö(2/3)Ö(-1/3) and Ö(2/3) Q 35: Solve, 8x2 - 14x - 15 = 0.-3/4 and 5/23/4 and 5/23/4 and -5/2-3/4 and -5/2 Q 36: Find the square root of (x2 + x - 30)(x2 + 8x + 12)(x2 - 3x - 10).(x - 5)(x + 2)(x - 6)(x - 5)(x + 2)(x + 6)(x + 5)(x + 2)(x + 6)(x - 5)(x - 2)(x + 6) Q 37: 5x2 + 7y2 + 5z2, is this a homogeneous equation?truefalse Q 38: Find the product of the roots of 6x2 + 9x - 6 = 0.12-1 Q 39: Find the square root of (x2 - 2x - 15)(x2 - 5x - 24)(x2 - 13x + 40).(x - 8)(x + 5)(x + 3)(x - 8)(x - 5)(x - 3)(x - 8)(x - 5)(x + 3)(x + 8)(x - 5)(x + 3) Q 40: Find the quadratic equation whose roots are 1/2 and 3/2.4x2 - 6x + 34x2 + 8x + 34x2 - 8x - 34x2 - 8x + 3 Q 41: Square of the valiable x is _______.Ö x2x2 Q 42: Find the square root of the equation x4 + 4x3 + 8x2 + 8x + 4 = 0 using division method.x2 + 2x + 2x2 + 2x - 2x2 + x + 2x2 + 2x+ 1 Q 43: Solve, 2x2 + 13x + 15 = 0.-3/2 and -53/5 and -55/2 and 5-5/3 and 5 Q 44: Find the quadratic equation whose roots are 6 and 3.x2 - 9x + 18x2 + 9x + 18x2 - 9x - 18x2 - 9x + 9 Q 45: Find the square root of 25x4 - 20x2y2 + 4y4.5x2 - 2y25x - 2y5x - 2y25x2 - 2y Q 46: Find the square root of 4x4 + y4 + 9z4 + 4x2y2 - 6y2z2 - 12x2z2.2x + y + -3z2x2 + y + 3x22x2 + y2 - 3z2 Q 47: If one root of x2 - (7+a)x - 56 = 0 is -8 find the value of a.-886-6 Q 48: Solve, 6x4 - 35x3 + 62x2 - 35x + 6 = 02,3,1/2 and 1/32,1/2 and 1/3None of these3,1/2 and 1/3 Q 49: Find the square root of 9x2 + 24xy + 16y2.3x + 2y3x + 4y2x + 3y Q 50: 4x22 + xy + 3y2, is this a homogeneous equation?truefalse Q 51: Find the square root of x2 + 9y2 + 4z2 - 6xy + -12yz + 4xz.x + 3y + 2zx + 3y - 2xx - 3y + 2z Q 52: Solve, 2x4 - 9x3 + 14x2 - 9x + 2 = 01,1/2 and 3/21,2 and 1/2None of these1,2 and 3/2 Q 53: Find the square root of 625x6.25x325x425x2 Q 54: Find the value of ma nd n so that 25x4 + 50x2 + mx + n is a perfect square.None of thesem = 5 and n = 9m = 0 and n = 5m = 0 and n = 25 Q 55: f(x) = 2x2 - 4x + 1, then 3f(x) = _______.6x2 - 4x + 36x2 - 12x + 12x2 - 4x + 36x2 - 12x + 3 Q 56: Product of two homogeneous expression is a ________.homogeneous expressionnot a homogeneous expression Q 57: Find the sum of the roots of 6x2 + 13x + 5 = 0.6/13-13/6-6/1313/6 Q 58: Solve, x2 + 5x + 6 = 0.-3 and 23 and 2-3 and -23 and -2 Q 59: Solve, 6x4 + 11x2 - 3 = 0.Ö(-3/2) and Ö(-1/3)Ö(-3/2) and Ö(--1/3)Ö(3/2) and Ö(-1/3) Q 60: If one root of x2 - (5+a)x + 24 = 0 is 3 find the value of a.6254 Q 61: What is the first degree expression to be added to x4 + 4x3 - 4x2 - 19x + 11.3x + 72x - 63x + 52x + 6 Q 62: Find the square root of x2 + 4y2 + 9z2 + 4xy + 6xz + 12yz.x +2y - 3zx + 2y + 3zx - 2y + 3zNone of these Q 63: What is the first degree expression to be added to x4 + 6x3 + 19x2 + 27x + 23.2x + 32x - 43x + 22x + 4 Q 64: If one root of 3x2 - (10+a)x + 10 = 0 is 5 find the value of a.5647 Q 65: Find the square root of 961x2y4.31xy431xy2None of these31x2y Q 66: Solve, (x2 - x)2 - 8(x2 - x) + 12 = 0.-1, -2, 2 and 31, -2, 2 and 3-1, 2, -2 and -3 Q 67: Find the nature of the roots of the equation 4x2 + 5x + 2 = 0.Complex and distinctReal and equalReal and distinct Q 68: Find the square root of (x - 2y + 3z)2 - 12z(x-2y).x - 2y - 3zx - 3y - 3zx - 2y - 2z Q 69: Find the sum of roots of the equation 5x2 + 11x + 3 = 0.12/5-11/5-12/511/5 Q 70: Find the square root of (x2 - x - 72)(x2 + x - 56)(x2 - 16x + 63).(x - 9)(x -7)(x + 8)(x + 9)(x -7)(x + 8)(x - 9)(x -7)(x - 8)(x - 9)(x +7)(x + 8) Q 71: Find the quadratic equation whose roots are 3/2 and 5/2.4x2 - 16x + 154x2 - 16x + 154x2 + 16x + 154x2 - 12x + 15 Q 72: Find the square root of 64x2y2.8xy8xy28x2yNone of these Q 73: Numbers of the form Ö-6, Ö-5 and Ö-7 are called ________.imaginary numbersReal numbers Q 74: Solve, 2x2 + 7x + 6 = 0.3/2 and 2-3/2 and -23/2 and -2-3/2 and 2 Q 75: If all the terms of an algebraic expression are of the same degree, then such an expression is called a _______.homogeneous expressionnot a homogeneous expression Q 76: Find the sum of the roots of 2x2 + 11x + 12 = 0.-2/11-11/211/22/11 Q 77: Find the square root of 43y4z6.2xy2z32xy3z42xyz22xy3z3 Q 78: Third degree homogeneous symmetric expression in x and y is _________.ax3 + bx2y2 + cxy2 + dy3ax3 + bx2y + cx2y2 + dy3ax3 + bx2y + cxy2 + dy3ax2 + bx2y + cxy2 + dy2 Q 79: 5x4 + 6x3y + 3x2y2, is this homogeneous equation?falsetrue Q 80: Solve, 3x2 + x - 10 = 0.5/3 and -2-5/3 and 2-5/3 and -25/3 and 2 Q 81: Find the square root of (6x2 + 16x + 8)(8x2 + 20x + 8)(12x2 + 14x + 4).(4x + 2)(2x + 4)(4x + 3)(3x + 2)(x + 4)(4x + 3)(3x + 2)(2x + 4)(4x + 3)(3x + 2)(2x + 4)(3x + 3) Q 82: 3x3 + 4y3 + 5z3. is this a homogeneous equation?falsetrue Q 83: Find the square root of 25x4 + 40x3 - 242 - 32x + 16.5x2 + 4x + 45x2 + 4x - 45x2 - 4x + 4 Q 84: Find the square root of 4x4 + 12x3 + 17x2 + 2x + 4.2x2 - 3x - 22x2 - 3x + 22x2 + 3x - 22x2 + 3x + 2 Q 85: Find the quadratic equation whose roots are 8 and -3.x2 - 8x - 24x2 + 5x - 24x2 - 11x - 24x2 - 5x - 24 Q 86: Find the square root of 9x4 + 6x2y2 + y4.3x2 + 2y23x2 + y23x + y Q 87: Find the square root of 16x4 + 16x3 + 12x2 + 4x + 1.4x2 + 2x - 14x2 - 2x - 14x2 + 2x + 1 Q 88: The quotient of two symmetric expressions is ______.not symmetricsymmetric Q 89: Find the square root of x4 - 6x3 + 5x2 + 12x + 4.x2 + 3x - 2x2 - 3x + 2x2 - 3x - 2x2 + 3x - 2 Q 90: Find the quadratic equation whose roots are 7 and -2.x2 + 5x - 14x2 - 5x - 14x2 - 9x - 14x2 - 5x + 14 Q 91: If one root of 2x2 - (16+a)x + 25 = 0 is 5/2 find the value of a.-1-212 Q 92: Find the square root of (x2 + x - 12)(x2 - x - 20)(x2 - 8x + 15).(x - 5)(x + 3)(x + 4)(x - 5)(x - 3)(x + 4)(x + 5)(x - 3)(x + 4)(x - 5)(x - 3)(x - 4) Q 93: Find the square root of (x2 - 4x + 3)(x2 - 12x + 27)(x2 - 10x + 9).(x - 9)(x - 3)(x - 1)(x + 9)(x - 3)(x - 1)(x - 9)(x + 3)(x - 1)(x - 9)(x - 3)(x + 1) Q 94: Find the square root of 44 - 4x3 + 12x2 - 16x + 16.x2 - 2x + 4x2 + 2x - 4x2 + 2x + 4 Q 95: x4 + 2x3 - 3x2 + 2x + 1 = 0, is this reciprocal requation or not.NoYes Q 96: Find the square root of x4 + 6x3 + 13x2 + 12x + 4.x2 + 3x + 2x2 - 3x - 2x2 - 3x + 2x2 + 3x - 2 Q 97: 2x4 - 3x3 + 5x2 - 3x + 2 = 0, is this reciprocal requation or not.NoYes Q 98: Solve, (x2 - 2x)2 - 11(x2 - 2x) + 24 = 0.-1, 2, -3 and 4-1, -2, 3 and 4-1, 2, 3 and 4 Question 99: This question is available to subscribers only! Question 100: This question is available to subscribers only!