Question

Explain what happens if you don't get a square root completely simplified on the first try. How is this like simplifying fractions?

Answer 1

You can just keep repeating the process. For example,
\[\sqrt{100} = \sqrt{4*25} = \sqrt{2*2*25} = 2\sqrt{25}\]However, that isn't completely simplified, as 5*5=25, so we can continue:\[\sqrt{100} = 2\sqrt{25} = 2\sqrt{5*5} = 2*5 = 10\]
10 is the fully simplified form, as the prime factorization of 10 is 2*5, and none of the factors are repeated.

Answer 2

Thinks