Question

Simplify the expression.

3/
`√(7)-√(2)`

Answer 1

`(3)/(\sqrt 7- \sqrt 2)\\\\\\=(3 \left( \sqrt 7+ \sqrt 2\right))/(\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right))\\\\\\=(3 \left( \sqrt 7+ \sqrt 2\right))/(\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 )\\\\\\= (3 \left( \sqrt 7+ \sqrt 2\right))/(7-2)\\\\\\=\frac{3 \left( \sqrt 7+ \sqrt 2\right)}5`