$6sqrt2$ is the simplest form of what?

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Answer 1 · 2015-10-13T22:34:01

$sqrt(72)$

You're asked to determine what radical term can be simplified to give $6sqrt(2)$ .

This means that you have to reverse the process you use when trying to get radical terms to their most simple form.

So, you start with $6sqrt(2)$ . Take a look at $6$ , is it a perfect square by any chance?

In this case, it is. you know that

$6 = sqrt(6^2) = sqrt(36)$

This means that you can write

$6sqrt(2) = sqrt(36) * sqrt(2)$

You know that

$color(blue)(sqrt(a) * sqrt(b) = sqrt(a * b))$

which means that you have

$6sqrt(2) = sqrt(36) * sqrt(2) = sqrt(36 * 2) = color(green)(sqrt(72))$

6sqrt26sqrt2 is the simplest form of what?