Math, asked by bhumika2488, 10 months ago

simplify =4√3/2√2-30/4√3-√18-√18/3-√12


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Answers

Answered by rajeev378
16
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Here is your answer.
 \frac{4 \sqrt{3} }{2 \sqrt{2} }  -  \frac{30}{4 \sqrt{3} }  -  \sqrt{18}  -  \frac{ \sqrt{18} }{3}  -  \sqrt{12}  \\  \\  =  \frac{4 \times 12 \sqrt{3}  \times  \sqrt{3} - 6 \sqrt{2}  \times 30 - 24 \sqrt{6}  \times  \sqrt{18}  - 8 \sqrt{6}  \times  \sqrt{18}  - 24 \sqrt{6}  \times  \sqrt{12}   }{24 \sqrt{6} }  \\  \\  =  \frac{144 - 180 \sqrt{2}  - 24 \sqrt{6 \times 18} - 8 \sqrt{6 \times 18}   - 24 \sqrt{6 \times 12} }{24 \sqrt{6} }  \\  \\  =  \frac{144 - 180 \sqrt{2}  - 144 \sqrt{3} - 48 \sqrt{3} - 144 \sqrt{2}   }{24 \sqrt{6} }  \\  \\  =  \frac{144 - 324 \sqrt{2} - 192 \sqrt{3}  }{24 \sqrt{6} }  \\  \\  =  \frac{6 - 13.5 \sqrt{2}  - 8 \sqrt{3} }{ \sqrt{6} }  \\  \\  =

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bhumika2488: can u explain how it happen
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