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.