Math, asked by 183hamebe, 6 months ago

if x= 1+√2 , then the value of x+(1/x) will be​

Answers

Answered by jhgjygjglk
2

Answer:

4+2 root2/1+root2

Step-by-step explanation:

by putting the value of x

then by equalizing the denominator

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Answered by vijayapravallikapatt
1

x= 1+√2

x+(1/x) = 1+√2+(1/1+√2)

x+(1/x) = [(1+√2)(1+√2) + 1 ] / (1+√2)

x+(1/x) = (4 + 2√2) / (1 + √2)

x+(1/x) = (4 + 2√2) (1 - √2) / (1 + √2)(1 - √2)

x+(1/x) = -1(6√2 + 4) / -1

x+(1/x) = 6√2 + 4

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