Question

How many digits are in the square root of the number 54756?

• A. 4
• B. 5
• C. 3
• D. 2

Answer 1

Answer:

C. 3

The rule depends on whether the number of digits ($n$) is even or odd:

• If $n$ is even, the square root has $\frac{n}{2}$ digits.

• If $n$ is odd, the square root has $\frac{n+1}{2}$ digits.

Here n is odd. So,

$\frac{5+1}{2}=\frac62=3$

3 digits are in the square root of the number 54756