What is the square root of 8 divided by square root of 5 minus square root of 2?

1 Answer
Mar 23, 2018

Answer:

#(2sqrt10+4)/3#

Explanation:

#sqrt8/(sqrt 5-sqrt 2)#

#:.(sqrt 5+sqrt 2)/(sqrt 5+sqrt 2)=1#

#:.=sqrt8/(sqrt 5-sqrt 2)xx (sqrt 5+sqrt 2)/(sqrt 5+sqrt 2)#

#(sqrt8(sqrt5+sqrt2))/((sqrt5-sqrt2)(sqrt5+sqrt2))#

#:.=(sqrt 8(sqrt 5+sqrt 2))/3#

#:.=(sqrt 8 sqrt 5+sqrt 8 sqrt 2)/3#

#:.=(sqrt(8*5)+sqrt(8*2))/3#

#:.=(sqrt 40+sqrt 16)/3#

#:.=(sqrt(2*2*2*5)+sqrt 16)/3#

#:.=sqrt2*sqrt2=2#

#:.=(sqrt(2*2*2*5)+4)/3#

#:.=(2 sqrt (2*5)+4)/3#

#:.=(2 sqrt10+4)/3#