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Question
If `x = sqrt(2) + 1`, find `1/x`.
Sum
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Solution
Given: `x = sqrt(2) + 1`
Step-wise calculation:
1. We want to find `1/x`.
2. Rationalise the denominator:
`1/(sqrt(2) + 1)`
= `1/(sqrt(2) + 1) xx (sqrt(2) - 1)/(sqrt(2) - 1)`
= `(sqrt(2) - 1)/((sqrt(2))^2 - 1^2)`
= `(sqrt(2) - 1)/(2 - 1)`
= `sqrt(2) - 1`
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