Math, asked by mdevim77, 9 hours ago

if x = 3 + 2√2, √x - 1/√x​

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Answered by sandy1816
0

x = 3 + 2 \sqrt{2}  \\  \frac{1}{x}  =  \frac{1}{3 + 2 \sqrt{2} }  \\ by \: rationalizing \: denominator \: we \: get \\  \frac{1}{x}  = 3 - 2 \sqrt{2}  \\ x +  \frac{1}{x}  = 6 \\ x +  \frac{1}{x}  - 2 = 4 \\ ( { \sqrt{x} -  \frac{1}{ \sqrt{x} }  })^{2}  = 4 \\  \sqrt{x}  -  \frac{1}{ \sqrt{x} }  =± 2

Answered by souravsarkar045
0

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