Math, asked by adityagupta4874, 10 months ago

12root18-6root20-3root50+8root45

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Answered by mass32
1

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Answered by Anonymous
1
 \huge \bf \red{hello \: mate..} \:

12 \sqrt{18 } - 6 \sqrt{20} - 3 \sqrt{50} + 8 \sqrt{45} \\ = 12 \sqrt{(9)} ( \sqrt{2)} - 6 \sqrt{(4)} \sqrt{(5)} - 3 \sqrt{(25)} ( \sqrt{(2)} + 8 \sqrt{(9)} \sqrt{(5)} \\ = 12*3 \sqrt{2} - 6*2 \sqrt{5} - 3*5 \sqrt{2} + 8*3 \sqrt{5} \\ = 36 \sqrt{2} - 12 \sqrt{5} - 15 \sqrt{2} + 24 \sqrt{5} \\ = \sqrt{2} (36 - 15) + \sqrt{5} (24 - 12) \\ = 21 \sqrt{2} + 12 \sqrt{5}

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