Question

Find the numbers of digits in the square - root of the following numbers ( without calculating square - roots ) of 25600 , 100000000 , 36864

Answer 1

for almost every big no. the no. of digits in its square is double double of the no. of digits of x

therefore, square root of
25600 will have 3 digits
100000000. 5 digits
36864. 3 digits