How do you simplify #10/(sqrt(20)*sqrt(5)#?

1 Answer
Dec 3, 2015

Answer:

#=color(blue)(1#

Explanation:

The expression given is
#10/(sqrt20*sqrt5)#

We first simplify the radicals by prime factorisation

  • #sqrt20=sqrt(2*2*5) =sqrt(2^2*5)=2sqrt5#
  • #sqrt5# is already in its simplest form.

Now, our expression becomes:

#10/(sqrt20*sqrt5)=10/(2sqrt5*sqrt5)#

#=10/(2*color(blue)((sqrt5*sqrt5))#

#=10/(2*5)#

#=10/10#

#=color(blue)(1#