How do you simplify $\sqrt{t^{4} + t^{2}}$ $sqrt(t^4+t^2)$ ?

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Answer 1 · 2015-07-13T19:53:18

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

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

$= {\sqrt{t}}^{2} \cdot \sqrt{t^{2} + 1}$ $=sqrtt^2*sqrt(t^2+1)$

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

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

How do you simplify √t4+t2sqrt(t^4+t^2)?