Question

how many digits are there in the square root of the following numbers find the answer without actually finding the square root - 32400​

Answer 1

Step-by-step explanation:

If the total number of digits in the number is even then, the number of digits in square root will be determined by using the formula N=n2 and in the case of odd number of digits square root will be N=n+12 where, n is the number of digits in the number. Hence, the total number of digits in the square root of 64 is 1.

Answer 2

The number of digits is 3.

GIVEN

Square of a number - 32400

TO FIND

The number of digits in the square root of the given number.

SOLUTION

We can simply solve the above problem as follows;

We are given a squre of a number ie; 32400

To find out the number of digits in the square root of 32400 we will do it using the following formula;

$= \frac{n + 1}{2}$

Where,

n = number of digits of the square number

n = 5

Putting the value of n in the given formula;

$= \frac{5 + 1}{2}$

= 6/2

= 3

Hence, The number of digits is 3.

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