Question

Find the square root of 1,024 using either the factoring or extracting method.

Answer 1

Start by dividing by small numbers that are factors. 2 is a good one.
1024/2 = 512
Divide by 2 again
512/2 = 256
and again
256/2 = 128
and again
128/2 = 64
and again
64/2 = 32
and again
32/2 = 16
and again
16/2 = 8
and again
8/2 = 4
and for the last time
4/2 = 2
Therefore\[1024=2^{10}\]
\[\sqrt{1024}=\sqrt{2^{10}}=2^{\frac{10}{2}}=?\]

Answer 2

\[2^{\frac{10}{2}}=2^{5}=32\]