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\sqrt{12^{4}-5^{2}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\sqrt{20736-5^{2}}
Calculate 12 to the power of 4 and get 20736.
\sqrt{20736-25}
Calculate 5 to the power of 2 and get 25.
\sqrt{20711}
Subtract 25 from 20736 to get 20711.