if√2=1.4142then find√√2-1/√2+1
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Answer:
1.2426
Step-by-step explanation:
√2-1/√2+1
=(√2-1)(√2-1)/(√2+1)(√2-1)
=(√2-1)^2/(√2)^2-(1)^2
=2+1-2√2)/2-1 {using (a-b) ^2=a^2+b^2-2ab,
=3-3√2/1 a^2-b^2 =(a+b)(a+b) }
= 3-3×1.4142
=1.2426
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