Question

Find the square of 105 by using sutra nikhilam

Answer 1

Answer:

Step-by-step explanation:

By Nikhilam sutra, cube=s  

2

(No.+2d)/s×3d  

2

/d  

3

 

where s=sub-base, d=difference

(i) 103

base=100;

sub-base=[103/100]=1

d=103−(100×1)=3

Cube=1  

2

(103+2(3))/1×3(3  

2

)/3  

3

 

As base is 100, we'll take two digits 109/27/27

1092727

(ii) 105

base=100; sub-base=[105/100]=1

d=105−100×1=5

Cube=105+2(5)/3(5  

2

)/5  

3

 

=115/75/125

=1157625

(iii) 107

base=100; sub-base=[107/100]=1

d=107−(100×1)=7

Cube=107+2(7)/3(7  

2

)/7  

3

 

=121/147/343

=1225043.