Properties of Square Roots

PRODUCT PROPERTY OF SQUARE ROOTS

For all positive real numbers a and b ,

a b = ab

That is, the square root of the product is the same as the product of the square roots.

QUOTIENT PROPERTY OF SQUARE ROOTS

For all positive real numbers a and b , b0 :

a b = a b

The square root of the quotient is the same as the quotient of the square roots.