How do you simplify #2sqrt(28)#?

2 Answers
Sep 26, 2015

#2 sqrt(28) = 4 sqrt(7)#

Explanation:

When #a >= 0#, #sqrt(a^2) = a#

and when #a, b >= 0#, #sqrt(ab) = sqrt(a)sqrt(b)#

So:

#2 sqrt(28) = 2 sqrt(2*2*7) = 2 sqrt(2*2) sqrt(7) = 2*2 sqrt(7) = 4 sqrt(7)#

Sep 26, 2015

#2sqrt(28)=4sqrt(7)#

Explanation:

#2*sqrt(28)=2*sqrt(4*7)=2*sqrt(4)*sqrt(7)=4sqrt(7)#