Answer:
√2 ≈ 1.414
Step-by-step 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
