# How do you simplify sqrt(t/8)?

Jun 12, 2017

$\frac{1}{2} \sqrt{\frac{t}{2}}$

#### Explanation:

Rewrite $8$ in its factors. $t$ has no factors so leave it as is:

sqrt(t/(2xx2xx2)

Take out anything that has two of a kind. In this case, we have three $\frac{1}{2}$s so we can take out $2$ of those. That means that we're left with $\frac{t}{2}$ on the inside:

$\frac{1}{2} \sqrt{\frac{t}{2}}$