Simplify √(72) 72 completely.

Question

asked May 2, 2022 119k views

1 Answer

Dhatri Suresh · Answer 1 · 2022-05-06T12:56:38+0000

Explanation:

First let's factor 72:

72 = 2^(3) * 3^(2)

Next, we can try to take the square root of each term in this factorization:

$\sqrt{2^(3)}$

2√(2)

$\sqrt{3^(2)}$

Finally, we can multiply these two together:

2√(2) * 3

6√(2)

Alternatively, you could find that 72 is
2 * 6^(2) and took the square root of the
6^(2) and moved the 6 out of the square root.