Question

Level I
1. By placing the bars only i.e., without actually
finding the square root, find the number of digits
in the square root of each of the following:
1 )
7569
​

Answer 1

Step-by-step explanation:

If the number of digits of a number is even, then its square root will have half (whole number) of the number of digits.

If the number of digits of a number are odd, then its square root will have half (nearest greater whole number) of the number of digits.

i)

64

The number of digits is 2 i.e. even.

Therefore, there is only 1 digit in the square root of 64.

ii)

144

The number of digits is 3 i.e. odd.

Therefore, there are (1.5 =) 2 digits in the square root of 144.

iii)

4489

The number of digits is 4 i.e. even.

Therefore, there are 2 digits in the square root of 4489.

iv)

27225

The number of digits is 5 i.e. odd.

Therefore, there are (2.5=) 3 digits in the square root of 27225.

v)

390625

The number of digits is 6 i.e. even.

Therefore, there are 3 digits in the square root of 390625