Simplify the following radical 126x^11

3x^5√14x

Step-by-step explanation:

√126x^11

First we can look at x^11:

To be able to take out x's from the √, there have to be equal paris. Only 5 pairs are able to come out which would be 10 totals x's, because 6 pairs would be 12 and there are only 11

Next we can look at 126:

We have to find the largest perfect square that fits into 126. The biggest perfect square that fits is 9. 9*14 = 126, so therefore we can take the square root of 9 to get 3, and we must leave 14 alone because there is not perfect square that goes into it.

This in turn gives you:

3x^5√14x