Math, asked by kunal9772, 1 year ago

find the value of 1/ √8 -3√2​

Answers

Answered by AkshatRajput5710
11

\mathfrak{\huge{\red{ANSWER}}}

 \frac{1}{ \sqrt{8}   - 3 \sqrt{2} }  \\  \\  =  \geqslant rationalising \: the \: denominator \\  \\  =  \geqslant  \frac{1}{ \sqrt{8}  - 3 \sqrt{2} }  \times  \frac{ \sqrt{8}  + 3 \sqrt{2} }{ \sqrt{8} + 3 \sqrt{2}  }  \\  \\  =  \geqslant  \frac{ \sqrt{8} + 3 \sqrt{2}  }{( \sqrt{8} ) {}^{2}  - (3 \sqrt{2}) {}^{2}  }  \\  \\  =  \geqslant  \frac{ \sqrt{8}  + 3 \sqrt{2} }{8 - 18}  \\  \\  =  \geqslant  \frac{ \sqrt{8} + 3 \sqrt{2}  }{ - 10}  \\  \\  =  \geqslant  \frac{ - ( \sqrt{8}  + 3 \sqrt{2}) }{10}  \\  \\  =  \geqslant  \frac{ -  \sqrt{8}  - 3 \sqrt{2} }{10}


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Answered by palaktiwary69
8

here's Ur answer

=(1/√8-3√2)×(√8+3√2/√8+3√2)

={√8+3√2}/{(√8)^2 - (3√2)^2}

={√8+3√2}/{8-9×2}

={√8+3√2}/{8-18}

={√8+3√2}/-10

={-√8-3√2}/10

hope It helps u

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