How do you simplify #sqrt45+sqrt180#?

Question

2415 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-06T18:50:23

#3sqrt45#

This is dividing the numbers by a square number then simplifying.

As 45 is not divisible by a square root number (other than 1) that stays the same

180 does divide by 9, but we want it 'compatible' with #sqrt45#
#180/45=4# and 4 is a square number so it can be re=-written like-

#sqrt45+sqrt(45*4)#

you can work out #sqrt4=2#

#sqrt45+2sqrt45#

that equals #3sqrt45#