00:02
Okay, number 89.
00:05
Let's simplify the square root of 300 p to the 9th, q to the 11th, using the product rule, which again just says, if you have the square root of a monomial, you can separate it into a product of separate square roots.
00:23
So, and i know the product rule only shows a and b, but there's no limit to how many separate factors you can have.
00:32
So that means for us the square root of 300 p to the 9th, q to the 11th, we will split as the square root of 300 times the square root of p to the 9th times the square root of q to the 11th.
00:47
And then what we do is we just simplify them each individually and then multiply the results back together.
00:54
That's using the product rule in the other direction.
00:57
So for the square of 300 should be pretty obvious.
01:00
The largest perfect square that goes in the 300 is 100.
01:04
So applying the product rule again, square root of 300 can be written as the square root of 100 times the square of 3.
01:12
And of course, the square of 100 is 10.
01:16
So square root 300 simplifies to 10 square root 3...