Question

Question #1f72d

Answer 1

See if you can factor a perfect square out of the radical

Explanation:

When simplifying radicals, it helps to see if you can factor out a perfect square. Examples below:

`sqrt63=`

63 is the product of 9 and 7, so the products of `sqrt63` are `sqrt9` and `sqrt7`.

`sqrt63=color(red)sqrt9*sqrt7` (`sqrt9` can be simplified to 3)

`sqrt63=color(red)3sqrt7` (Notice, 9 is a perfect square)

Similarly, we can do the same to simplify `sqrt80`:

`sqrt80= sqrt16*sqrt5` (because `16*5=80`). `sqrt16` can be simplified to 4.

`sqrt80=4sqrt5`

Remember, if there's just a number under the radical, we can try to factor out a perfect square, and simplify from there.