# How do you simplify sqrt(75x²y)?

Mar 18, 2018

5xsqrt(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: xsqrt(75y
2. You have to find another way to write 75. You can write 75 like $3 \cdot 25$. But 25 can you also write as ${5}^{2}$. Then we get
xsqrt(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 $\sqrt{3 y}$ and we can't simplify it more