Question

PLEASE HELP!!!!!!!!!!!!

Which expression is equivalent to the square root of 80?
Option A which is 4 square root of 2 times the square root of 5
Option B which is square root of 2^4 times the square root of 5
Option C which is the square root of 2 times the square root of 2 times the square root of 5
Option D which is the square root of 2^2 times the square root of 2^2 times the square root of 5^2

Answer 1

The answer to your question is: Option B is correct

Explanation:

Which expression is equivalent to the square root of 80?

Find the prime factors of 80

80 = 2⁴5 then
`√(80)  = 4√(5)` =
`\sqrt{2^(2)2^(2) 5 }`

Option A which is 4 square root of 2 times the square root of 5 This option is incorrect

Option B which is square root of 2^4 times the square root of 5 This option is correct

Option C which is the square root of 2 times the square root of 2 times the square root of 5 This option is incorrect

Option D which is the square root of 2^2 times the square root of 2^2 times the square root of 5^2 This option is incorrect