Question

Sqrt 10 multiplied sqrt of 8

Answer 1

4
`√(5)`

Explanation:

In order to simplify radicals, you need to know your factors (so that way, you can find the closest perfect square to a number).

`√(10)` *
`\sqrt[8}`
`√(8)` =
`√(80)`

(Because both of the numbers of radicals, you can just multiply the radicands like how you'd normally multiply numbers, and so it's
`√(80)`.)

We can simplify
`√(80)` by finding the closest square number, which is 16.

`√(80)=√(16) * √(5)\\ √(16)=4\\Thus, √(80)=4√(5)`