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\sqrt{64+8\sqrt{3^{2}}}
Calculate 8 to the power of 2 and get 64.
\sqrt{64+8\sqrt{9}}
Calculate 3 to the power of 2 and get 9.
\sqrt{64+8\times 3}
Calculate the square root of 9 and get 3.
\sqrt{64+24}
Multiply 8 and 3 to get 24.
\sqrt{88}
Add 64 and 24 to get 88.
2\sqrt{22}
Factor 88=2^{2}\times 22. Rewrite the square root of the product \sqrt{2^{2}\times 22} as the product of square roots \sqrt{2^{2}}\sqrt{22}. Take the square root of 2^{2}.