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

 Square roots of Algebraic Expressions Review Test
 Q 1: Find the square root of 4x4 + 8x3 + 9x2 + 4x + 4.2x2 - x + 22x2 + x - 22x2 + x + 2 Q 2: 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 3: Find the nature of the roots of the equation 3x2 - 12x + 7 = 0.Complex and distinctReal and distinctReal and equal Q 4: x4 + 2x3 - 3x2 + 2x + 1 = 0, is this reciprocal requation or not.YesNo Q 5: Find the nature of the roots of the equation 3x2 - 7x + 3 = 0.Real and equalReal and distinctComplex and distinct Q 6: Find the square root of 4x4 + y4 + 9z4 + 4x2y2 - 6y2z2 - 12x2z2.2x + y + -3z2x2 + y2 - 3z22x2 + y + 3x2 Q 7: Square of the valiable x is _______.x2� x2 Q 8: Find the nature of the roots of the equation 2x2 - 3x + 7 = 0.Real and equalComplex and distinctReal and distinct Q 9: Solve, x2 - 4x - 21 = 0.-3 and -73 and -73 and 7-3 and 7 Q 10: Find the product of the roots of 8x2 - 14x - 15 = 0.8/15-15/8-8/1515/8 Q 11: Find the square root of 16x2 - 8xy + y2.4x2 - y4x - y4x - y2 Q 12: What is the first degree expression to be subtracted from 16x4 + 16x3 + 20x2 + 10x - 1.3x - 43x + 42x - 32x - 4 Q 13: 5x + 3y+ 15y2, is this a homogeneous equation?truefalse Q 14: Find the nature of the roots of the equation 4x2 + 5x + 2 = 0.Real and distinctReal and equalComplex and distinct Q 15: Solve, 2x2 + 13x + 15 = 0.3/5 and -55/2 and 5-5/3 and 5-3/2 and -5 Q 16: 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 + 2)(4x + 5)(3x + 4)(5x + 1)(4x + 5)(3x + 2)(5x + 1) Q 17: Solve, 2x4 - 9x3 + 14x2 - 9x + 2 = 01,2 and 3/21,2 and 1/2None of these1,1/2 and 3/2 Q 18: Find the square root of x4 + y4 + 9z4 - 2x2y2 - 6x2z2 + 6y2z2.x2 - y2 + 3z2x2 + y2 + 3z2x2 - y2 - 3z2 Q 19: Expand, � a2b. (Variables 'a' and 'b')a2b(a2b)(b2a)(a2b)+(b2a)b2a Q 20: Find the square root of 16x4 + 16x3 + 12x2 + 4x + 1.4x2 + 2x - 14x2 + 2x + 14x2 - 2x - 1 Q 21: 5x4 + 6x3y + 3x2y2, is this homogeneous equation?falsetrue Q 22: If one root of x2 - (5+a)x + 24 = 0 is 3 find the value of a.6452 Q 23: If one root of x2 - (7+a)x - 56 = 0 is -8 find the value of a.86-6-8 Q 24: 3x4 - 5x3 + 3x2 - 4x2 + 5 = 0, is this reciprocal requation or not.NoYes Q 25: Find the square root of 1296x6y4.36x3y236x4y36x2y3 Q 26: Find the product of roots of the equation 3x2 + 7x + 6 = 0.2365 Q 27: x2 + y2 + z2, is this equation symmetry or not?NoYes Q 28: 3x3 + 4y3 + 5z3. is this a homogeneous equation?falsetrue Q 29: The difference of two symmetric expression is a ___________.symmetric expressionnot a symmetric expression Q 30: Find the square root of 43y4z6.2xy3z42xy3z32xy2z32xyz2 Q 31: Solve, (2x2 - 3x)2 - 4(2x2 - 3x) - 5 = 0.-1, 1, -1/2 and 5/2-1, 1, 1/2 and 5/21, 1, 1/2 and 5/2 Q 32: If one root of 2x2 - (16+a)x + 25 = 0 is 5/2 find the value of a.-1-212 Q 33: Find the square root of 9x2 + 24xy + 16y2.3x + 4y2x + 3y3x + 2y Q 34: Solve, x2 + 5x + 6 = 0.-3 and 2-3 and -23 and -23 and 2 Q 35: Find the square root of 4x4 - 4x3 - 7x2 + 4x + 42x2 + x - 22x2 - x - 22x2 - x + 22x2 + x + 2 Q 36: If one root of x2 - (4+a)x - 15 = 0 is -3 find the value of a.3-32-2 Q 37: 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 38: Find the square root of x4 - 2x3 - 5x2 + 6x + 9.x2 - x - 3x2 + x - 3x2 - x + 3 Q 39: Solve, 15x4 + 13x2 + 2 = 0.�(2/3) and �(-1/5)�(-2/3) and �(1/5)�(-2/3) and �(-1/5) Q 40: Find the quadratic equation whose roots are 8 and -3.x2 + 5x - 24x2 - 11x - 24x2 - 8x - 24x2 - 5x - 24 Q 41: 3x3 - 6x2y + 3xy2 + 7y3, is this a homogeneous equation?truefalse Q 42: Find the square root of 225x4.15x215x315x Q 43: Find the value of a and b so that 4x4 + 12x3 + 17x2 + ax + b is a perfect square.a = 2 and b = 4a = 3 and b = 4a = 3 and b = 5a = 4 and b = 5 Q 44: Solve, 8x2 - 14x - 15 = 0.-3/4 and 5/2-3/4 and -5/23/4 and 5/23/4 and -5/2 Q 45: Find the quadratic equation whose roots are 3/2 and 5/2.4x2 - 16x + 154x2 - 16x + 154x2 - 12x + 154x2 + 16x + 15 Q 46: f(x) = 2x2 - 4x + 1, then 3f(x) = _______.6x2 - 12x + 32x2 - 4x + 36x2 - 12x + 16x2 - 4x + 3 Q 47: Find the quadratic equation whose roots are 7 and -2.x2 - 9x - 14x2 - 5x - 14x2 + 5x - 14x2 - 5x + 14 Q 48: Solve, 3x2 - 4x - 6 = 0.2/3 and 3-2/3 and -32/3 and -3-2/3 and 3 Q 49: Find the square root of 44 - 4x3 + 12x2 - 16x + 16.x2 + 2x + 4x2 - 2x + 4x2 + 2x - 4 Q 50: If all the terms of an algebraic expression are of the same degree, then such an expression is called a _______.not a homogeneous expressionhomogeneous expression Q 51: Find the square root of x4 - 4x3 + 8x2 - 8x + 4.x2 - 2x - 2x2 + 2x - 2x2 + 2x + 2x2 - 2x + 2 Q 52: 3x3 + 5xy2 + 3y3, is this homogeneous equation?falsetrue Q 53: 5x4 - 3x3 + 7x2 - 4x + 2 = 0, is this reciprocal requation or not.YesNo Q 54: If one root of 2x2 - (3+a)x + 6 = 0 is 2 find the value of a.3456 Q 55: What is the first degree expression to be subtracted from 4x4 + 8x3 - 8x2 - 9x + 11.2x - 42x + 33x + 22x + 4 Q 56: x3 + y3 + x2 + y2 + x + y, is this equation symmetry or not?NoYes Q 57: Solve, 6x4 - x2 - 2 = 0.�(-1/2) and �(2/3)�(-1/2) and �(-2/3)�(1/2) and �(2/3) Q 58: Find the nature of the roots of the equation 3x2 - 15x + 5 = 0.Real and equalComplex and distinctReal and distinct Q 59: What is the first degree expression to be subtracted from 9x4 - 12x3 + 12x2 - 9x + 13.2x - 42x + 43x + 43x - 4 Q 60: What is the first degree expression to be added to x4 + 6x3 + 19x2 + 27x + 23.2x + 33x + 22x - 42x + 4 Q 61: x3 + 3x2y + xy2 + y3, is this equation symmetry or not?NoYes Q 62: Find the sum of the roots of 2x2 + 11x + 12 = 0.-11/22/1111/2-2/11 Q 63: Find the square root of 25x2.5x25x15xNone of these Q 64: Third degree homogeneous symmetric expression in x and y is _________.ax3 + bx2y2 + cxy2 + dy3ax2 + bx2y + cxy2 + dy2ax3 + bx2y + cxy2 + dy3ax3 + bx2y + cx2y2 + dy3 Q 65: Solve, (x2 - x)2 - 8(x2 - x) + 12 = 0.-1, 2, -2 and -31, -2, 2 and 3-1, -2, 2 and 3 Q 66: Solve, 6x4 + 11x2 - 3 = 0.�(-3/2) and �(-1/3)�(3/2) and �(-1/3)�(-3/2) and �(--1/3) Q 67: Solve, 2x2 + 11x + 12 = 0.3/2 and 43/2 and -4-3/2 and 4-3/2 and -4 Q 68: Solve, 6x2 + 7x + 2 = 0.1/2 and 2/31/2 and -2/3-1/2 and -2/3-1/2 and 2/3 Q 69: Find the square root of 64x2y2.None of these8x2y8xy28xy Q 70: The product of two symmetric expressions is ______.symmetricnot symmetric Q 71: Find the nature of the roots of the equation 3x2 + 7x - 4 = 0.Real and equalReal and distinctComplex and distinct Q 72: If one root of 6x2 - (21+a)x + 25 = 0 is 5/2 find the value of a.5647 Q 73: Find the square root of (6x2 + 16x + 8)(8x2 + 20x + 8)(12x2 + 14x + 4).(3x + 2)(2x + 4)(3x + 3)(4x + 2)(2x + 4)(4x + 3)(3x + 2)(2x + 4)(4x + 3)(3x + 2)(x + 4)(4x + 3) Q 74: Find the square root of x2 + 9y2 + 4z2 - 6xy + -12yz + 4xz.x - 3y + 2zx + 3y + 2zx + 3y - 2x Q 75: 2x4 - 3x3 + 5x2 - 3x + 2 = 0, is this reciprocal requation or not.YesNo Q 76: Solve, (x2 - 2x)2 - 11(x2 - 2x) + 24 = 0.-1, -2, 3 and 4-1, 2, -3 and 4-1, 2, 3 and 4 Q 77: The sum of two symmetric expression is a _______.not a symmetric expressionsymmetric expression Q 78: 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 79: 5x2 + 7y2 + 5z2, is this a homogeneous equation?truefalse Q 80: Solve, 9x4 - 3x2 - 2 = 0.�(1/3) and �(2/3)�(-1/3) and �(-2/3)�(-1/3) and �(2/3) Q 81: The quotient of two symmetric expressions is ______.not symmetricsymmetric Q 82: Find the square root of 9x4 + 6x2y2 + y4.3x2 + y23x2 + 2y23x + y Q 83: Find the quadratic equation whose roots are 6 and 3.x2 + 9x + 18x2 - 9x + 18x2 - 9x + 9x2 - 9x - 18 Q 84: Find the quadratic equation whose roots are 1/2 and 3/2.4x2 - 8x - 34x2 + 8x + 34x2 - 8x + 34x2 - 6x + 3 Q 85: If one root of 3x2 - (10+a)x + 10 = 0 is 5 find the value of a.6457 Q 86: How much is subtracted from 4x4 + 12x3 + 17x2 + 2x + 7 to make it perfect square.6235 Q 87: Find the square root of x4 - 6x3 + 5x2 + 12x + 4.x2 - 3x + 2x2 + 3x - 2x2 + 3x - 2x2 - 3x - 2 Q 88: Find the product of the roots of 6x2 - 13x + 6 = 0.5-11 Q 89: Find the square root of (x - 2y + 3z)2 - 12z(x-2y).x - 2y - 2zx - 2y - 3zx - 3y - 3z Q 90: Find the sum of the roots of 6x2 + 7x + 2 = 0.7/66/7-7/6-6/7 Q 91: Find the square root of the equation 4x4 + 8x3 + 9x2 + 4x + 4 = 0 using undetermind method.2x2 + x + 12x2 + 2x + 22x2 - x + 22x2 + x + 2 Q 92: Find the square root of 961x2y4.31x2yNone of these31xy431xy2 Q 93: Find the product of the roots of 2x2 + 7x + 6 = 0.2/5-33 Q 94: Find the product of the roots of 6x2 + 9x - 6 = 0.2-11 Q 95: Solve, x2 - x - 6 = 0. -3 and -2-3 and 23 and -23 and 2 Q 96: Find the square root of x2 + 4y2 + 9z2 + 4xy + 6xz + 12yz.x - 2y + 3zx +2y - 3zx + 2y + 3zNone of these Q 97: Find the square root of 16x4 - 24x3 - 23x2 + 24x + 16.4x2 - 3x + 44x2 - 3x - 44x2 + 3x + 44x2 + 3x - 4 Q 98: Solve, 3x4 - 16x3 + 26x2 - 16x + 3 = 0.1,1/2 and 2/31,1/2 and 1/31,3 and 2/31,3 and 1/3 Question 99: This question is available to subscribers only! Question 100: This question is available to subscribers only!

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