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प्रश्न
If x = `(4 - sqrt(15))`, find the values of
`(1)/x`
उत्तर
`(1)/x`
`(1)/x = (1)/((4 - sqrt(15))`
= `(1)/((4 - sqrt(15))) xx ((4 + sqrt(15)))/((4 + sqrt(15))`
= `((4 + sqrt(15)))/(16 - 15)`
= `(4 + sqrt(15))`
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संबंधित प्रश्न
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Show that: `(4 - sqrt5)/(4 + sqrt5) + 2/(5 + sqrt3) + (4 + sqrt5)/(4 - sqrt5) + 2/(5 - sqrt3) = 52/11`
