Since Pythagorean theorem proofs requires us to square numbers
and find square roots, reviewing square root operations from
Algebra is really important. When working with the Pythagorean
theorem, it is especially important for you to remember how to
simplify square roots and rationalize fractions that have a
square root in the denominator. When you get to the part of
Geometry where you have anything that's being squared,
especially with Pythagorean Theorem, you have to go back and
remember how to simplify square roots. Let me show you 2 ways of
simplifying square root of 84, we'll call this method one and
method two. So method one is using the prime factors, so you're
going to take whatever is, you're taking the square root of and
you're going to find the prime factors. So I'm going to start
with 2 and 2 goes in the 84, 42 times so I'm just going to keep
factoring and I'm going to circle the numbers that are prime. So
I'm going to say this is 2 times 21 and 2 is prime 21 is not but
I can break it up into 3 ti