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\left(36+8^{2}\right)^{\frac{1}{2}}
Calculate 6 to the power of 2 and get 36.
\left(36+64\right)^{\frac{1}{2}}
Calculate 8 to the power of 2 and get 64.
100^{\frac{1}{2}}
Add 36 and 64 to get 100.
10
Calculate 100 to the power of \frac{1}{2} and get 10.