Question

Multiply by using Nikhilam formula : 22 × 23

Answer 1

The multiplication of 22 × 23 is equal to 506.

Explanation:

We have,

22 × 23

To find, the multiplication of 22 × 23 = ?

∴ 22 × 23

= (20 + 2) × (20 + 3)

Using the algebraic formula,

(x + a)(x + b) = $x^{2}$ + (a + b)x + ab

Here, x = 20, a = 2 and b = 3

= $20^{2}$ + (2 + 3)20 + 2 × 3

= 400 + (5)20 + 6

= 400 + 100 + 6

= 506

Thus, the multiplication of 22 × 23 is equal to 506.