if x=√2-1 find (x-1÷x)×3
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⇒ x-1=√2 - 2
{ (√2 - 2)÷(√2 -1)}×3
After rationalizing,
⇒[{(√2 -2)(√2 +1)}÷{(√2 -1)(√2 +1)}]×3
⇒ {(2+√2 -2√2 -2)÷(2-1)}3
⇒(-√2)3
⇒-3√2
{ (√2 - 2)÷(√2 -1)}×3
After rationalizing,
⇒[{(√2 -2)(√2 +1)}÷{(√2 -1)(√2 +1)}]×3
⇒ {(2+√2 -2√2 -2)÷(2-1)}3
⇒(-√2)3
⇒-3√2
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