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10\sqrt{5}\sqrt{6}+20\left(\sqrt{5}\right)^{2}
Use the distributive property to multiply 5\sqrt{5} by 2\sqrt{6}+4\sqrt{5}.
10\sqrt{30}+20\left(\sqrt{5}\right)^{2}
To multiply \sqrt{5} and \sqrt{6}, multiply the numbers under the square root.
10\sqrt{30}+20\times 5
The square of \sqrt{5} is 5.
10\sqrt{30}+100
Multiply 20 and 5 to get 100.