How do you rationalize the denominator and simplify $2/(3-sqrt7)$ ?

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Answer 1 · 2015-10-03T04:30:24

Refer to explanation

We multiply and divide with $3+sqrt7$ hence we have that

$2/(3-sqrt7)*(3+sqrt7)/(3-sqrt7)=2*(3+sqrt7)/(3^2-(sqrt7)^2)=2*(3+sqrt7)/(9-7)=3+sqrt7$

How do you rationalize the denominator and simplify 2/(3-sqrt7)2/(3-sqrt7)?