# Math Help - Simplify the radical. Assume that all variables represent positive real numbers.

1. ## Simplify the radical. Assume that all variables represent positive real numbers.

P
___
64

= p

___

8

Is that right?

2. Originally Posted by HappyFeet
P
___
64

= p

___

8

Is that right?
Is this what you're trying to simplify?

$\sqrt{\frac{p}{64}}$?

If so, you've made a mistake.

You use the index law $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$.

Since a surd is a fractional power, we can use this index law for surds as well.

$\sqrt{\frac{p}{64}}=\frac{\sqrt{p}}{\sqrt{64}} = \frac{\sqrt{p}}{8}$.