Question

Simplify

`√(72)`
72 completely.​

Answer 1

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)}`

`3`

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.