simplify square root of 27r^5

Your problem:

√27r^5

Try to break this down as far as you can to simplify.

√(9 * 3)(r^4 * r)

The square root of 9 is 3. The square root of r^4 is r^2.

Therefore, you end up with this:

3r^2√3r ---> 3r is left under the square root sign.

I hope this will help.

To simplify the square root of 27r^5, we can break it down as much as possible.

First, we can separate 27 into its factors: 27 = 9 * 3.

Next, we can separate r^5 into r^4 * r.

So now we have:

√(9 * 3)(r^4 * r)

Taking the square root of 9 gives us 3, and the square root of r^4 gives us r^2.

Therefore, we end up with:

3r^2√3r

Simplifying further, we can combine the like terms under the square root sign. So, the simplified form is:

3r^2√3r

This is the final answer.