Evaluate
189\sqrt{10}\approx 597.670477772
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63\sqrt{12+6}\sqrt{5}
Multiply 7 and 9 to get 63.
63\sqrt{18}\sqrt{5}
Add 12 and 6 to get 18.
63\times 3\sqrt{2}\sqrt{5}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
189\sqrt{2}\sqrt{5}
Multiply 63 and 3 to get 189.
189\sqrt{10}
To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.
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