# How do you simplify the Square root of 245?

Jul 23, 2015

Square root 245 $= \pm 7 \sqrt{5}$

#### Explanation:

$\sqrt{245}$
$\textcolor{w h i t e}{\text{XXXX}}$$= \sqrt{5 \cdot 7 \cdot 7}$

$\textcolor{w h i t e}{\text{XXXX}}$$= \sqrt{5} \cdot \sqrt{{7}^{2}}$

$\textcolor{w h i t e}{\text{XXXX}}$$= 7 \sqrt{5}$

Use of the literal string "Square root of" may imply that we are looking for both the positive and negative roots (and not just the positive root as implied by the square root symbol).