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If x=7+4sqrt(3), then find the value of ...

If `x=7+4sqrt(3)`, then find the value of `sqrt(x)+1/sqrt(x)`

Text Solution

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Given` x = 7 + 4√3`
`x = 7 + 4√3`
`1 / x = 1 / ( 7 + 4√3)` rationalize denominator `(7 - 4√3)`
`= (7 - 4√3) / 49 - 48 = (7 - 4√3)` ...
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