High School Mathematics - 2 1.6 Properties of Square Roots Review

Properties of Square roots:

Öa * Öb = Ö(a*b).

nÖa^{m} = (nÖa)^{m}

Ö(a/b) = Öa / Öb

a*Öb = Ö
(a^{2}b)

Ö
a+Öb ¹
Ö(a+b)

Öa - Öb ¹ Ö(a-b)

Directions: Write all the properties of square roots on a sheet of paper. For each property write at leat 5 examples of your own. Answer the following question.

Q 1: The least positive whole number with which 125 should be multiplied so that the product is a perfect square is ___. 7 5 3

Q 2: {..........-2, -1, 0, 1, 2, 3, ..........} is called the set of ______. Whole Numbers Natural Numbers Integers Rational Numbers

Q 3: {0, 1, 2, 3, .......} is called the set of _____. Whole Numbers Rational Numbers Integers Natural Numbers

Q 4: {1, 2, 3, ........} is called the set of ______. Rational Numbers Integers Whole Numbers Natural Numbers

Q 5: The area of a square field is 2916 sq. m. Then its side is _____. 54 cm 34 cm

Q 6: If x^{2}=1225, the positive value of x = _____. 45 35

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