Question

Combine and simplify these radicals. radical 8 * 20 i will make brainliest

Answer 1

Simplifying the expression we proceed as follows:
√8×20
=√8×√20
=√(2×4)×√(4×5)
=2√2×2√5
=4√10

Answer: 4√10

Answer 2

Answer:

$\sqrt{8 *20}$ = 4 $\sqrt{10}$.

Step-by-step explanation:

Given  : $\sqrt{8 *20}$.

To find : Combine and simplify these radicals.

Solution : We have given that  $\sqrt{8 *20}$.

We can write 8 as 4 *2  and 20 as 4 *5

Then ,

$\sqrt{8 *20}$ =  $\sqrt{(4 *2 )*(4 * 5)}$.

$\sqrt{8 *20}$ = $\sqrt{4 *2}\ *\sqrt{4 *5}$.

$\sqrt{8 *20}$ = 2 $\sqrt{2}\ *2\sqrt{5}$.

$\sqrt{8 *20}$ = 4 $\sqrt{2 *5}$.

$\sqrt{8 *20}$ = 4 $\sqrt{10}$.

Therefore, $\sqrt{8 *20}$ = 4 $\sqrt{10}$.