Question

The square root of a product is equal to the product of the square roots of each factor.
True
False

Answer 1

yes....
\[\sqrt{ab}=\sqrt{a}\times \sqrt{b}\]

Answer 2

do u understand gsj?

Answer 3

Thanks, now I understand.

Answer 4

yw!

Answer 5

you need \(a,b\ge0\)

Answer 6

Over the set of Real numbers, the square root of a product is equal to the product of the square roots of each factor.

Answer 7

\[1=\sqrt{1}=\sqrt{(-1)(-1)}\neq\sqrt{-1}\sqrt{-1}=i\cdot i=-1\]

Answer 8

Thanks to all of you. True is the right answer.

Answer 9

unfortunately, true is not the correct answer...unless you restrict what you put under the square root...as is evident by my last post.