How do you simplify $(2 sqrt(7) + sqrt(3)) times (3 sqrt(7) - sqrt(2))$ ?

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Answer 1 · 2016-09-04T17:29:40

The value is $42-2sqrt(14)+3sqrt(21)-sqrt(6)$

$(2sqrt(7)+sqrt(3))xx(3sqrt(7)-sqrt(2))$
$=6*7-2sqrt(7)sqrt(2)+3sqrt(7)sqrt(3)-sqrt(2)sqrt(3)$
$=42-2sqrt(14)+3sqrt(21)-sqrt(6)$

In these calculations I used the following properties of square roots:

How do you simplify (2 sqrt(7) + sqrt(3)) times (3 sqrt(7) - sqrt(2))(2 sqrt(7) + sqrt(3)) times (3 sqrt(7) - sqrt(2))?