# Evaluate (( square root of 24)÷2)^2

(24÷2)2
Rewrite the division as a fraction.
(242)2
Simplify the numerator.
Rewrite 24 as 22⋅6.
Factor 4 out of 24.
(4(6)2)2
Rewrite 4 as 22.
(22⋅62)2
(22⋅62)2
Pull terms out from under the radical.
(262)2
(262)2
Simplify terms.
Cancel the common factor of 2.
Cancel the common factor.
(262)2
Divide 6 by 1.
62
62
Rewrite 62 as 6.
Use axn=axn to rewrite 6 as 612.
(612)2
Apply the power rule and multiply exponents, (am)n=amn.
612⋅2
Combine 12 and 2.
622
Cancel the common factor of 2.
Cancel the common factor.
622
Divide 1 by 1.
61
61
Evaluate the exponent.
6
6
6
Evaluate (( square root of 24)÷2)^2