How do you simplify $\sqrt{\frac{t}{8}}$ $sqrt(t/8)$ ?

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How do you simplify $\sqrt{\frac{t}{8}}$ $sqrt(t/8)$ ?

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Answer 1 · 2017-06-12T16:49:20

$\frac{1}{2} \sqrt{\frac{t}{2}}$ $1/2sqrt(t/2)$

Explanation:

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

$\sqrt{\frac{t}{2 \times 2 \times 2}}$ $sqrt(t/(2xx2xx2)$

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

$\frac{1}{2} \sqrt{\frac{t}{2}}$ $1/2sqrt(t/2)$

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How do you simplify $\sqrt{\frac{t}{8}}$ $sqrt(t/8)$ ?

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