if x = √2-1, then the value of 1/x is
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x=√2-1
1/x=√2+1 because x and 1/x are reciprocals of each other and the reciprocal of √2-1 is √2+1
here is the work...
1/x=1/(√2-1)
rationalize the denominator
1(√2+1)/(√2-1)(√2+1)
(√2+1)/(2-√2+√2-1)
(√2+1)/(2+0-1)
(√2+1)/1
√2+1
1/x=√2+1
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