Math, asked by karrrivulavenkaiah, 10 months ago

5√3+2√27+4√1/3
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Answers

Answered by Darsh05
1

Answer: \frac{34}{\sqrt{3}} +4

Step-by-step explanation:

5\sqrt{3} +2\sqrt{27} +4\sqrt{\frac{1}{3}} \\=5\sqrt{3} +2\sqrt{3*3*3} +4\sqrt{\frac{1}{3}}\\=5\sqrt{3} +2*3\sqrt{3} +4{\frac{1}{\sqrt3}}\\=5\sqrt{3}*\sqrt{3} +6\sqrt{3}*\sqrt{3} +{\frac{4\sqrt{3}+1}{\sqrt3}}\\=\frac{5*3 +6*3 +4\sqrt{3} +1}{\sqrt{3}} \\\\=\frac{15+18+4\sqrt{3}+1}{\sqrt{3}} \\\\=\frac{34+4\sqrt{3}}{\sqrt{3}} \\=\frac{34}{\sqrt{3}} +4

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