00:02
The square root of five plus the square to 10 squared is the same as writing the square to five plus the square to 10 times the square to five plus the square to 10.
00:12
We're now going to distribute and simplify.
00:16
The square to five times the square to five is a square to 25.
00:20
The square to five times a square to 10 gives us a square out of 50.
00:25
The square to 10 times a square to five gives us a square to 50.
00:30
And the square to 10 times the square to 10 gives us a square to 50.
00:32
Gives us the square root of 100.
00:37
Since we're dealing with the square root or the second root, we can pull things out in groups of two.
00:43
25 factors to five and five.
00:46
I have a group of five.
00:47
Therefore, we can pull out the five.
00:51
50 factors to 25 and two, which factors to five and two.
00:57
And i've got two sets of 50s here...