Question

Find the square of 98 by using 'Sutra Nikhilam'.​

Answer 1

Nikhilam Sutra stipulates subtraction of a number from the nearest power of 100 ie 10,100,1000,etc

$(100 - 2) = 98 \\ (x - y) {}^{2} = x {}^{2} + y {}^{2} - 2xy \\ (100 - 2) {}^{2} = (100 ){}^{2} + (2) {}^{2} - 2(100)(2) \\ 10000 + 4 - 400 \\ 10004 - 400 = 9604$