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

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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#