How do you simplify $3sqrt2(2sqrt-4)+sqrt2(5-sqrt2)$ ?

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Answer 1 · 2017-05-05T13:02:57

$11sqrt2 - 2$

Before we begin tackling this problem, separate it into small chunks so that it is easier for us to handle.

$sqrt-4$ does not exist as it is a negative surd(radical) so the problem looks like this.

$3sqrt2*(2)$ = $6sqrt2$

$sqrt2(5-sqrt2)$
Multiply it out and then simplify:

$5sqrt2-sqrt4$ = $5sqrt2 - 2$

Now add the two parts together which will give you the answer.

$6sqrt2 + 5sqrt2 - 2$

$= 11sqrt2 - 2$

How do you simplify 3sqrt2(2sqrt-4)+sqrt2(5-sqrt2)3sqrt2(2sqrt-4)+sqrt2(5-sqrt2)?