How do you simplify $(sqrt2 - 3 sqrt5) (sqrt2 + sqrt7)$ ?

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Answer 1 · 2016-02-07T10:25:40

Use the FOIL method of multiplying Binomials:

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$(sqrt2-3sqrt5)(sqrt2+sqrt7)$

$ul First$

$rarrsqrt2*sqrt2=2$

$ul Outer$

$rarrsqrt2*sqrt7=sqrt14$

$ul In$ $n$ $e$ $r$

$rarr-3sqrt5*sqrt2=-3sqrt10$

$ul La$ $st$

$rarr-3sqrt5*sqrt7=-3sqrt35$

Now combine them:

$(sqrt2-3sqrt5)(sqrt2+sqrt7)=2+sqrt14-3sqrt10-3sqrt35$

How do you simplify (sqrt2 - 3 sqrt5) (sqrt2 + sqrt7)(sqrt2 - 3 sqrt5) (sqrt2 + sqrt7)?