Question

calcule essa expressão​

Answer 1

Explicação passo-a-passo:

a) $5\sqrt{8}+2\sqrt{2}-3\sqrt{32}+7\sqrt{18}$

   $5\sqrt{2^{3}}+2\sqrt{2}-3\sqrt{2^{5}}+7\sqrt{3^{2}.2}$

   $5\sqrt{2^{2}.2}+2\sqrt{2}-3\sqrt{2^{2}.2^{2}.2}+7.3\sqrt{2}$

   $5.2\sqrt{2}+2\sqrt{2}-3.2.2\sqrt{2}+21\sqrt{2}$

   $10\sqrt{2}+2\sqrt{2}-12\sqrt{2}+21\sqrt{2}$

   $(10+2-12+21)\sqrt{2}=21\sqrt{2}$

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b) $7\sqrt{6}+5\sqrt{600}-\sqrt{54}+5\sqrt{24}$

   $7\sqrt{6}+5\sqrt{10^{2}.6}-\sqrt{3^{2}.6}+5\sqrt{2^{2}.6}$

   $7\sqrt{6}+5.10\sqrt{6}-3\sqrt{6}+5.2\sqrt{6}$

   $7\sqrt{6}+50\sqrt{6}-3\sqrt{6}+10\sqrt{6}$

   $(7+50-3+10)\sqrt{6}=64\sqrt{6}$