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