Math, asked by dhruvsharma37, 1 year ago

2√3-3√2/√3+√2=a-b√6,find the value of a and b

Answers

Answered by Anonymous
8
plzz mark as brainliest
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Answered by RAMAN019
2
here you go ☆☆

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it's the concept of rationalizing denomerator.

 \frac{2 \sqrt{3} - 3 \sqrt{2} }{ \sqrt{3} + \sqrt{2} }

 \frac{2 \sqrt{3} - 3 \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \times \frac{ \sqrt{3 } - \sqrt{2} }{ \sqrt{3} - \sqrt{2} }

 \frac{6 - 2 \sqrt{6} - 3 \sqrt{6} + 6}{ { \sqrt{3} }^{2} - { \sqrt{2} }^{2} }

 \frac{ 12 - 5 \sqrt{6} }{3 - 2}

 \frac{ 12 - 5 \sqrt{6} }{1}

so a = 12 and b = -5
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hope it helps:)
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