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\sqrt{12+36}
The square of \sqrt{12} is 12.
\sqrt{48}
Add 12 and 36 to get 48.
4\sqrt{3}
Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.