00:01
In this problem, we're being asked to simplify the given square root.
00:03
Well, because we're taking the square root of a fraction, we can actually go ahead and split it up, meaning we'll rewrite it as the square root of 125 n to the 7, getting divided by the square root of 169.
00:16
Now, in the numerator, we have to take the square root of 125 end to the 7.
00:20
So what we can do is split that up, to be the square root of 125 times the square root of n to the 7.
00:28
Now, in our denominator, we're trying to find the square of the 169.
00:33
Well, that's equal to 13.
00:35
All right.
00:36
So now, let's take a look at the square of the 125.
00:39
125 is not a perfect square, but the perfect square 25 divides into it five times.
00:45
So we'll rewrite that as the square of the 25 times the square of the 5.
00:50
And then we have n to the seventh...