Question

if √2=1.41 find the value of 1/√2+1

Answer 1

Answer: 1/(√2 + 1) = 0.41

Explanation: 1/(√2 + 1) = 1(√2 - 1)/(√2 + 1)(√2 - 1) [rationalizing the denominator] = (√2 - 1)/(2 - 1) [(a + b)(a - b) = a^2 - b^2] = √2 - 1 = 1.41 - 1 = 0.41.