SOLUTION: Simplify: 5 sqrt5 - sqrt 20 The answers to choose from are: A) 3 sqrt5 B) 4 sqrt5 C) Cannot be simplified D) 4 sqrt20 Can anyone help me gather the concept of

Algebra ->  Equations -> SOLUTION: Simplify: 5 sqrt5 - sqrt 20 The answers to choose from are: A) 3 sqrt5 B) 4 sqrt5 C) Cannot be simplified D) 4 sqrt20 Can anyone help me gather the concept of       Log On


   



Question 67875: Simplify:
5 sqrt5 - sqrt 20
The answers to choose from are:
A) 3 sqrt5
B) 4 sqrt5
C) Cannot be simplified
D) 4 sqrt20
Can anyone help me gather the concept of solving this type of problem? Thank you for all your wonderful help in understanding!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
5 sqrt5 - sqrt 20
:
Writing it like this may help:
5*SqRt(5) - SqRt(4*5)
:
Note that you can extract the SqRt of 4, which is 2, then you have:
5*SqRt(5) - 2*SqRt(5)
:
Since they are both the SqRt(5) now, just do the arithmetic 5 - 2:
3*SqRt(5)