All mock tests are FREE till 31 December — register to save your progress

If x = 1/(1 + √2), then the value of x2 + 2x + 3 is :

यदि x = 1/(1 + √2) हो, तो x2 + 2x + 3 का मान है :

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: C. 4

Explanation

x = 1/(1 + √2) = √2 − 1, so x + 1 = √2 and x² + 2x + 3 = (x + 1)² + 2 = 2 + 2 = 4.

x = √2 − 1, x + 1 = √2; x² + 2x + 3 = (x + 1)² + 2 = 4।

More Mathematics & Numerical Ability questions