Comment prouver que : √24 × 10^8 + √54 × 10 ^8 = √15×10^9.... Pergunta de ideia deTimalbaraizdu974

April 2019 1 48 Report

Comment prouver que :
√24 × 10^8 + √54 × 10 ^8 = √15×10^9

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Miky93 $\sqrt{24}*10^8+\sqrt{54}*10^8=\sqrt{15}*10^9 \\\\\\ \sqrt{24}\to 2\sqrt{6} \\\\ \sqrt{54}\to 3\sqrt{6} \\\\\\ 2\sqrt{6}*10^8+3\sqrt{6}*10^8=\sqrt{15}*10^9 \\\\ 10^8*\sqrt{6}(2+3)= \sqrt{15}*10^9 \\\\ 10^8*5\sqrt{6}=\sqrt{15}*10^9 \ \ \ |:10^8 \\\\ 5\sqrt{6}=\sqrt{15}*10 \\\\ \sqrt{25*6}= \sqrt{100*15} \\\\ \boxed{\sqrt{150}=\sqrt{150}}$

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