Question

How do you simplify (3 sqrt(2) + 2 sqrt(5))(4 sqrt(2) - sqrt(5))?

Answer 1

`frac{34 + 11 sqrt 10}{27}`

Explanation:

`frac{3 sqrt 2 + 2 sqrt 5}{4 sqrt 2 - sqrt 5} * frac{4 sqrt 2 + sqrt 5}{4 sqrt 2 + sqrt 5}`

`= frac{24 + 3 sqrt 10 + 8 sqrt 10 + 10}{32 - 5}`

`= frac{34 + 11 sqrt 10}{27}`