Question

If √2=1.414 then find √√2-1/√2+1

Answer 1

Given that, √2 = 1.414 and we need to find the value of √(√2 - 1/√2 + 1)

We first rationalize the equation and we will get,

√[(√2 - 1)^2/(√2 + 1)(√2 - 1)]

=> √[(√2-1)^2/(2-1)]

=> (√2 - 1 )  

here we apply the value of √2 and we will get

1.414 - 1 = 0.414

Therefore, the value of √(√2-1/√2+1) is 0.414.

Answer 2

√2 = 1.414 and we need to find the value of √(√2 - 1/√2 + 1)


We first rationalize the equation and we will get,


√[(√2 - 1)^2/(√2 + 1)(√2 - 1)]


√[(√2-1)^2/(2-1)]


(√2 - 1 )  

here we apply the value of √2 and we will get


1.414 - 1 = 0.414

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