Question

You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you would want to multiply the radicands together first and then simplify the product.

Answer 1

Multiplying the two same variables will combine them into one variable of an even power. (odd number + odd number = even number)
Then the square root (even root/radicand) can be taken eliminating the radicand.

Here's an example to show you what I mean, so you can put it in your own words if you want.


`\sqrt{ x^(3) } * \sqrt{ x^(7) } = \sqrt{ x^(10) } = x^(5)`