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10^2 * 12^2 *2^2=(10*12*2)^2=100*24^2=57600
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(\sqrt[3]{4158})^2=4158
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\sqrt{144}+\sqrt{250000}=12+\sqrt{5^2*100^2}=12+\sqrt{500^2}=12+500=512
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6\sqrt{18}*(\sqrt{32}+\sqrt{50})=6*3\sqrt2*(4\sqrt2+5\sqrt2)=18\sqrt2*9\sqrt2=162*(\sqrt2)^2=162*2=324
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0,8768 * 10^4=0,8768*10000=8768
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\frac{\sqrt{64}}{\sqrt[3]{\frac{1}{27}}}=\frac{8}{\frac{1}{3}}=8*\frac{3}{1}=24
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\sqrt[3]{44+\sqrt{10*\sqrt{64}*\sqrt{25}}}*5=\sqrt[3]{44+\sqrt{10*8*5}}*5=
\sqrt[3]{44+\sqrt{400}}*5=\sqrt[3]{44+20}*5=\sqrt[3]{64}*5=4*5=20