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\sqrt{7\times 12}
Cancel out 2 and 2.
\sqrt{84}
Multiply 7 and 12 to get 84.
2\sqrt{21}
Factor 84=2^{2}\times 21. Rewrite the square root of the product \sqrt{2^{2}\times 21} as the product of square roots \sqrt{2^{2}}\sqrt{21}. Take the square root of 2^{2}.