Question

Simplify square root of five times square root of eight.

Answer 1

Answer:

1. two square root of ten

Step-by-step explanation:

Given expression is:

$\[\sqrt{5}* \sqrt{8}\]$

Simplifying the expression:

$\[\sqrt{5}* \sqrt{4 \ast 2}\]$

= $\[\sqrt{5}* \sqrt{4}*\sqrt{2}\]$

= $\[\sqrt{5}* 2*\sqrt{2}\]$

= $\[2 * \sqrt{5} * \sqrt{2}\]$

= $\[2 * \sqrt{10}\]$

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

Answer 2

Answer:

1. two square root of ten ( $2\sqrt{10}$ )

Step-by-step explanation:

we need to simplify the expression:

$\sqrt{5} \sqrt{8}$

we can join both square roots in one:

$\sqrt{5*8}=\sqrt{40}$

and now we factor 40 as 4 by 10:

$\sqrt{4*10}$

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

$2\sqrt{10}$

so the answer is

1. two square root of ten