How do you solve #3sqrt(4y)=6#?

2 Answers
Apr 17, 2015

Take #3# to the right:
#sqrt(4y)=6/3#
#sqrt(4y)=2#
square both sides and solve for #y#

Apr 17, 2015

Know that:

#sqrt(ab)=sqrt(a)sqrt(b)#

So:

#3sqrt(4y)=6#

#(3sqrt(4y))/3=6/3#

#sqrt(4y)=2#

#sqrt(4)sqrt(y)=2#

#(sqrt(4)sqrt(y))/sqrt(4)=2/(sqrt(4))#

#sqrt(y)=1#

#y=1^2#

#:.y=1#