00:03
All right, number 91, let's simplify the square root of 242m to the 13th and to the 21st using the product rule, which, again, just says you can split the square root of a product into a product of separate square roots.
00:25
So for us, that means square root of 242m to the 13th and to the 21st will be square root of 242, times the square root of m to the 13th, times the square root of n to the 21st.
00:42
Then you simplify each of those one at a time and multiply them back together.
00:47
Biggest perfect square that goes into 242 is 121.
00:51
So 242, that's 121 times 2.
00:55
And the square root of 121 is 11.
00:57
So 11 radical 2.
01:01
And then remember for the variable roots, you just divide each exponent by the index of two.
01:10
Quotient represents the powers that come out and the remainder represents the powers that stay in...