Question

What is the exact value of the square root of 50 over 3 the square root of 15.?

the square root of 30 over 9.

25 the square root of 30 all over 45.

3 the square root of 30 all over 5.

5the square root of 30.

Answer 1

Do you mean

\(\huge \frac{\sqrt{50}}{3\sqrt{15}}\)
?

Answer 2

yes

Answer 3

Okay, well there are some nice square root rules that let us rewrite a problem like this.

First rule:
\(\Large \sqrt{a}*\sqrt{b} = \sqrt{a*b}\)

Second rule:
\(\huge \frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}\)

Answer 4

alright so now what

Answer 5

We'll use the first rule to split the top up. We want to break it into two things, and we want one of those things to be a perfect square.

Answer 6

so how do you do that