We want to split 128 into it's prime factors.
\(\sqrt{128}=\sqrt{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}\)
Then we can rewrite this as:
\(=\sqrt{2\cdot2}\cdot\sqrt{2\cdot2}\cdot\sqrt{2\cdot2}\cdot\sqrt2\)
Now..replace each \(\sqrt{2\cdot2}\) with 2
\(=2\cdot2\cdot2\cdot\sqrt2\)
Multiply the numbers outside the radical together.
\(=8\cdot\sqrt2 \\~\\ =8\sqrt2\)
We want to split 128 into it's prime factors.
\(\sqrt{128}=\sqrt{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}\)
Then we can rewrite this as:
\(=\sqrt{2\cdot2}\cdot\sqrt{2\cdot2}\cdot\sqrt{2\cdot2}\cdot\sqrt2\)
Now..replace each \(\sqrt{2\cdot2}\) with 2
\(=2\cdot2\cdot2\cdot\sqrt2\)
Multiply the numbers outside the radical together.
\(=8\cdot\sqrt2 \\~\\ =8\sqrt2\)
im a sophmore and im curently failing algebra so yea imma be on this sight alot