How do you simplify #sqrt(75x²y)#?

1 Answer
Mar 18, 2018

Answer:

5x#sqrt(3y#

Explanation:

1.The first thing you can do is to square #x^2#. This is easy, you just take away the number 2 and then place x in front of the squareroot. Like this: x#sqrt(75y#
2. You have to find another way to write 75. You can write 75 like #3*25#. But 25 can you also write as #5^2#. Then we get
x#sqrt(3*5^2y#
3. Again square #5^2# by just taking away the number 2. Then you can place the number 5 in front of the squareroot and we get

5x #sqrt(3y)# and we can't simplify it more