Question

4. Find the squares of the follwing numbers .
@ 29 b) 37 c) 59 d) 101 e) 250
plz give me the answer of this plz yaar ​

Answer 1

Answer:

841, 1369, 3481, 10201, 62500

Step-by-step explanation:

Use base Multiplication for quick calculations. It goes something like this:

For any given number x, it's square is equal to:

x^2 = (x-y)(x+y) + y^2 [where y is a number that brings x to a base where it's divisible by 10 for an easier calculation].

a) 29^2 = ??

x = 29

Let's have base 30 for a quicker calculation.

Hence let y be 1.

So:

29^2 = (29 + y)(29 - y) + y^2

= (29 + 1)(29 - 1) + 1

= 30 × 28 + 1

= 840 + 1

= 841

And do like this for others.

In the case of 250, you can split it into 25×10. Then do (25^2) × (10^2).

For 25^2:

x = 25

y = 5

25^2 = (25 + 5)(25 - 5) + 5^2

= 20 × 30 + 5

= 620 + 5

= 625

So it will be 625 × 100 which is 62500.

If you find this way confusing, just straightaway multiply them.

Hope this helps.