$(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8)$ Multiply and Simplify?

Question

3026 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-03T02:37:34

$(sqrt5-sqrt7)(sqrt5-sqrt8)=color(blue)(5-2sqrt10-sqrt35+2sqrt14$

$(sqrt5-sqrt7)(sqrt5-sqrt8)$

$(sqrt5sqrt5)-(sqrt5sqrt8)-(sqrt5sqrt7)+(sqrt7sqrt8)$

Simplify.

$5-sqrt40-sqrt35+sqrt56$

Prime factorize the radicands.

$5-sqrt(2*2*2*5)-sqrt(5*7)+sqrt(2*2*2*7)$

Simplify.

$5-2sqrt10-sqrt35+2sqrt14$

(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8)(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) Multiply and Simplify?