# How do you simplify sqrt(t^4+t^2)?

Jul 13, 2015

With radical expression you always try to take squares out of the root.

#### Explanation:

$= \sqrt{{t}^{2} \left({t}^{2} + 1\right)}$

$= {\sqrt{t}}^{2} \cdot \sqrt{{t}^{2} + 1}$

$= | t | \sqrt{{t}^{2} + 1}$

(because the outcome of a radical expression can never be negative)