How do you simplify $3 \sqrt{8}$ $3sqrt8$ ?

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Answer 1 · 2018-03-22T00:48:29

$6 \sqrt{2}$ $6sqrt2$

The square root of $8$ $8$ is like the square root of $4$ $4$ times $2$ $2$ .

$3 \sqrt{8} = 3 \sqrt{4 \times 2}$ $3sqrt(8) = 3sqrt(4xx2)$

The square root of $4$ $4$ is $2$ $2$ so you multiply $3$ $3$ by $2$ $2$ and leave the other $2$ $2$ in the square root.

$3 \sqrt{4 \times 2} = 3 \times 2 \sqrt{2}$ $3sqrt(4xx2) = 3xx2sqrt(2)$

You are then left with $6$ $6$ times the square root of $2$ $2$ .

$6 \sqrt{2}$ $6sqrt2$

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