If a perfect square is of 10 digits, then its square root will have

4

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5

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Solution

The correct option is B $5$
Given

Number of digits in a perfect square = 10

Here n = 10 which is even

Therefore number of digits in square root $= \frac{n}{2} = \frac{10}{2} = 5.$

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Question 72

State whether the following statement is true or false:

The square root of a perfect square of n digits will have $(\frac{n + 1}{2})$ digits, if n is odd.

n

n

Column I	Column II
Greatest 3 digit perfect square	$1, 024$
Smallest 5 digit perfect square	$9, 801$
Smallest 3 digit perfect square	$961$
Greatest 4 digit perfect square	$10, 000$
Smallest 4 digit perfect square	$100$

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