Question

How do you simplify `4sqrt8*sqrt2`?

Answer 1

1) `4sqrt(4xx2)*sqrt2`

2) `(4sqrt4*sqrt2`) ⋅ `sqrt2`

3) `4xx2sqrt2*sqrt2`

4) `8*2`

5) `16`

Explanation:

1) Find factors of `8` under the radical.
2) Simplify `sqrt4` to `2` and multiply by the `4` outside
3) Multiply `8sqrt2*sqrt2" "(larrsqrt2*sqrt2` equals 2)
4) `8*2`
5) `16`

Answer 2

`=16`

Explanation:

The two square roots can be combined into one. In this case this is a good idea because the product will be a prefect square.

`4sqrt8 xx sqrt2 = 4sqrt(8xx2)`

`= 4 sqrt(16)`

`= 4xx4`

`=16`