How do you simplify $5sqrt2 (sqrt8 - sqrt50)$ ?

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Answer 1 · 2015-06-06T18:00:50

The simplified writting is $-30$

To simplify, you need to write every term as a multiple of $sqrt2$

$5sqrt2(sqrt8-sqrt50) = 5sqrt2(sqrt(2*4)-sqrt(2*25))$

$= 5sqrt2(sqrt(2*2^2)-sqrt(2*5^2))$

$= 5sqrt2(2sqrt(2)-5sqrt(2))$

$= 5sqrt2*(-3sqrt2)$

$= (5*(-3))*(sqrt2*sqrt2)$

$= -15*2 = -30$

How do you simplify 5sqrt2 (sqrt8 - sqrt50)5sqrt2 (sqrt8 - sqrt50)?