# How do you simplify square root of 17 times the square root of 17 to the 2nd power?

Sep 30, 2015

The question is ambiguous, but could be answered:

(1) $\sqrt{17} {\left(\sqrt{17}\right)}^{2} = 17 \sqrt{17}$
(2) ${\left(\sqrt{17} \sqrt{17}\right)}^{2} = {17}^{2} = 289$

#### Explanation:

In general ${\left(\sqrt{a}\right)}^{2} = \sqrt{a} \sqrt{a} = a$

A square root of a number is a number which when multiplied by itself gives the original number.