How do you simplify $5 sqrt8 times sqrt18$ ?

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Answer 1 · 2016-02-01T16:45:18

$5sqrt(8)xxsqrt(18) = 60$

Start by factoring the terms under the radicals.

$5xxsqrt(2xx2xx2)xxsqrt(2xx3xx3)$

We can now see that there are a couple of squares inside of the radicals.

$5xxsqrt(2^2xx2)xxsqrt(3^2xx2)$

Now we can move the squares out from under the radical signs.

$5xx2xxsqrt(2) xx 3xxsqrt(2)$

Multiply all of the terms outside of the radicals to combine them.

$30 xx sqrt(2)xxsqrt(2)$

$= 30xx sqrt(2)^2$

Now we can get rid of the radicals.

$30xx2$

$=60$

How do you simplify 5 sqrt8 times sqrt185 sqrt8 times sqrt18?