Question

Add : 2√5 +3√7, 1√6 -7√8 and 4√5 +10√2 -8√3
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Answer 1

Answer:

$2\sqrt{5}+3\sqrt{7}+1\cdot \sqrt{6}-7\sqrt{8}+4\sqrt{5}+10\sqrt{2}-8\sqrt{3}=6\sqrt{5}+3\sqrt{7}+\sqrt{6}-4\sqrt{2}-8\sqrt{3}$

Step-by-step explanation:

$2\sqrt{5}+3\sqrt{7}+1\cdot \sqrt{6}-7\sqrt{8}+4\sqrt{5}+10\sqrt{2}-8\sqrt{3}$

$\mathrm{Add\:similar\:elements:}\:2\sqrt{5}+4\sqrt{5}=6\sqrt{5}$

$=6\sqrt{5}+3\sqrt{7}+1\cdot \sqrt{6}-7\sqrt{8}+10\sqrt{2}-8\sqrt{3}$

$=6\sqrt{5}+3\sqrt{7}+\sqrt{6}-14\sqrt{2}+10\sqrt{2}-8\sqrt{3}$

$\mathrm{Add\:similar\:elements:}\:-14\sqrt{2}+10\sqrt{2}=-4\sqrt{2}$

$=6\sqrt{5}+3\sqrt{7}+\sqrt{6}-4\sqrt{2}-8\sqrt{3}$