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

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

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

Q 4: Does Identity Property in Addition hold in the set of natural numbers? No Yes

Q 5: {..........-2, -1, 0, 1, 2, 3, ..........} is called the set of ______. Rational Numbers Integers Natural Numbers Whole Numbers

Q 6: The least positive whole number with which 125 should be multiplied so that the product is a perfect square is ___. 3 7 5

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