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

Question

3091 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-03T08:04:59

#=color(blue)(1#

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

We first simplify the radicals by prime factorisation

Now, our expression becomes:

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

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

#=10/(2*5)#

#=10/10#

#=color(blue)(1#