00:04
All right, 78.
00:06
We want to use the product rule, which you see right here, to simplify that square root of 32 n to the 11th power.
00:16
And the product rule just tells you that you can split a product inside of a square root into a product of separate square roots.
00:25
So in other words, that tells us we can write the square root of 32 n to the 11th as the square root of 32 times the square root of n to the 11th.
00:34
And now what we're going to do is simplify each of those separately and then multiply them back together, using the product rule in the other direction.
00:45
So very straightforward.
00:48
The largest perfect square that goes into 32 is 16.
00:52
So we'll write that as 16 times 2, which is then square root of 16 times square root of 2.
01:01
And then the square root of 16 is 4.
01:03
So that's 4 squared of 2.
01:05
Okay, so that's how the square root of 32 simplifies...