What is (2sqrt(7)+ 3sqrt(2))* (sqrt(7)- 5*sqrt(2))?

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Answer 1 · 2015-09-29T11:55:35

$-(16+7sqrt14)$

$(2*sqrt(7)+ 3*sqrt(2))* (sqrt(7)- 5*sqrt(2))$

$=2sqrt7^2-10sqrt7*sqrt2+3sqrt2*sqrt7-15sqrt2^2$

$=2*7-7sqrt2*sqrt7-15*2$

$=14-30-7sqrt(2*7)$

$=-16-7sqrt14$
or:
$=-(16+7sqrt14)$

What is (2*sqrt(7)+ 3*sqrt(2))* (sqrt(7)- 5*sqrt(2))?