Question

Simplify square root of five times square root of eight.

1. two square root of ten
2. four square root of ten
3. square root of forty
4. square root of thirteen

Answer 1

1. two square root of ten (
`2√(10)` )

Explanation:

we need to simplify the expression:

`√(5) √(8)`

we can join both square roots in one:

`√(5*8)=√(40)`

and now we factor 40 as 4 by 10:

`√(4*10)`

and because the number 4 has an exact square root which is 2, we take it out of the square root:

`2√(10)`

so the answer is

1. two square root of ten

Answer 2

1. two square root of ten

Explanation:

Given expression is:

`\[√(5)* √(8)\]`

Simplifying the expression:

`\[√(5)* √(4 \ast 2)\]`

=
`\[√(5)* √(4)*√(2)\]`

=
`\[√(5)* 2*√(2)\]`

=
`\[2 * √(5) * √(2)\]`

=
`\[2 * √(10)\]`

So among the given options, option 1 is the correct one,namely, two square root of ten.