Q:

11 sq root 45-4 sq root 5

Accepted Solution

A:
First evaluate the sq root of 45.
To do so, you have to find perfect square factors (2 x 2, 3 x 3, 4 x 4, and etc.)

The factors of 45 are 3 x 3 x 5.

Notice that there is a 3 x 3. That means you can get the 3 out of the square root and multiply with the number outside of the square root.

11(3)square root 5 - 4 square root 5

33 square root 5 - 4 square root 5

Subtracting and Adding square roots is the same thing as subtracting and Adding variables. If they have the same variable you can +/-. So if they have the same square root, then can +/-.

Answer: 29 square root 5