FINDING SQUARES OF NUMBERSS NEAR 50

To find the square of numbers near 50, you can use a few methods:

Direct Calculation:

• For 49: $49^2=2401$
• For 50: $50^2 = 2500$
  
• For 51: $51^2 = 2601$
  

Approximation Using Binomial Expansion:

If you’re looking for a quick approximation and the number is close to 50, use the formula $(50 + x)^2 = 2500 + 100x + x^2$, where $x$ is the difference from 50.

• For 49 (x = -1): $(50 - 1)^2 = 2500 - 100 + 1 = 2401$

• For 51 (x = 1): $(50 + 1)^2 = 2500 + 100 + 1 = 2601$

These methods give you precise squares for numbers around 50.