How do you simplify $(4+3sqrt2)/(-3-sqrt5)$ ?

Question

1216 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-02T09:30:21

$=> -3 + ( -9sqrt2 + 4sqrt5 + 3sqrt10)/4$

$(4 + 3Sqrt2) / (-3 - sqrt5)$

$"Multiply and divide by the conjugate "(-3 + sqrt5) " of the denominator."$

$=> ((4 + 3sqrt2 ) ( -3 + sqrt5)) / ((-3-sqrt5)(-3 + sqrt5))$

$=> (-12 -9sqrt2 + 4sqrt5 + 3sqrt10) / (9 - 5)$

$=> (-12 -9sqrt2 + 4sqrt5 + 3sqrt10)/4$

How do you simplify (4+3sqrt2)/(-3-sqrt5)(4+3sqrt2)/(-3-sqrt5)?