Question 21

Write the correct answer from the given four options.

A perfect square number having n digits, where n is even, will have square root with

a) $(n + 1)$ digit
b) $\frac{n}{2}$ digit
c) $\frac{n}{3}$ digit
d) $(\frac{n + 1}{2})$ digit

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Solution

A perfect square number having n digits, where n is even, will have square root with $\frac{n}{2}$ digit.

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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.

\sqrt{1681} = . . . . . . . . .

n

n + 2 n + 3 n + \dots + 99 n

n^{2}

If n is the smallest natural number such that n + 2n + 3n +....+ 99n is a perfect square, then the number of digits in n $^{2}$ is

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