Question

Multiply using Nikhilam sutra 21 x 22 x 99

Answer 1

The value of 21 x 22 x 99 =  45738

Explanation:

We have,

21 x 22 x 99

To find, the value of 21 x 22 x 99 = ?

∴  21 x 22 x 99

= [( 20 + 1) x ( 20 + 2)] x 99

Using the algebraic identity,

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

= [ $20^{2}$ + (1 + 2)20 + (1)(2)] x 99

= [400 + 60 + 2] x 99

= 462 x (100 - 1)

= 462 x 100 - 462 x 1

= 46200 - 462

= 45738

The value of 21 x 22 x 99 =  45738