Question

If x=root 2+1 ,find the value of x+1/x

Answer 1

Answer:

4(√2+1) / 3

Step-by-step explanation:

x=√2+1

x + 1/x

√2+1 + 1/(√2+1)

(√2+1)(√2+1)/(√2+1)/ + 1 / (√2+1)

4(√2+1)/3

Answer 2

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If x=root 2+1 ,find the value of x+1/x

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$x = \sqrt{2 } + 1 \\ \\ assume \: \: \frac{1}{x} \: as \: \frac{1}{ \sqrt{2} + 1 } \\ \\ = \frac{1}{ \sqrt{2} + 1 } \times \frac{ \sqrt{2 } - 1 }{ \sqrt{2} - 1} \\ \\ = \frac{ \sqrt{2} - 1}{2 - 1} \\ \\ = \sqrt{2} - 1 \\ \\ = now \\ \\ x + \frac{1}{x} = \sqrt{2} + 1 + \sqrt{2} - 1 \\ \\ = 3.146$

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