Question

please give explanation with correct anwer​

Answer 1

Answer:

√{(√2 - 1)/(√2 + 1)}

evaluate if √2 = 1.4142

√{ (√2 - 1)/√2 + 1) × (√2 - 1)/√2 - 1) }

[ multiply both numerator and denominator by the conjugate of the denominator ie (√2 - 1)

ie conjugate of √a + √b = √a - √b ]

=> √{ (√2 - 1)²/(2 - 1) }

[(√2 + 1)(√2 - 1) = 2-1 = 1 , since (a+b)(a-b) = a²-b² ]

=> √{(√2 - 1)²}

=> (1.4142 - 1)

[ (√a)² = a ]

=> 0.4142 Answer

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