Question

How do you simplify `sqrt(75x²y)`?

Answer 1

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