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\sqrt{548\times 314}
Multiply 4 and 137 to get 548.
\sqrt{172072}
Multiply 548 and 314 to get 172072.
2\sqrt{43018}
Factor 172072=2^{2}\times 43018. Rewrite the square root of the product \sqrt{2^{2}\times 43018} as the product of square roots \sqrt{2^{2}}\sqrt{43018}. Take the square root of 2^{2}.