a =√2+1 find( a-1/a)^2
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Step-by-step explanation:
The answer is 2/3+2√2
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Answer:
a=√2+1
1/a = 1/√2+1
after rationalising the denominator,
1/a = √2-1
(a-1/a)²= a² + 1/a² + 2*a*1/a
= (√2+1)²+(√2-1)²+2
=(2+1+2√2)+(2+1-2√2)+2
=2+1+2√2+2+1-2√2+2
=8
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