Question

Estimate of the square root of 2

Answer 1

The actual square root of 2 is 1.414213562373.

I would estimate to 1.4

Answer 2

√2 ≈ 1.414

Explanation:

From your knowledge of squares, you know that 14² = 196 and 15² = 225. Linearly interpolating between these values gives you √200 as being about ...

14 + (200-196)/(225-196) = 14 4/29 ≈ 14.14.

The square root of 2 is ...

√2 = √(200/100) = (1/10)√200 ≈ 1.414