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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

Respuesta :

Answer:

The answer to your question is: Option B is correct

Step-by-step explanation:

Which expression is equivalent to the square root of 80?

Find the prime factors of 80

80 = 2⁴5 then [tex]\sqrt{80}  = 4\sqrt{5}[/tex] = [tex]\sqrt{2^{2}2^{2} 5 }[/tex]

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