Question

EXERCISE 3.3
How many digits are there in the square root of the following numbers. Find the answers without actually
finding the square root
b) 97 344
(c) 32.400
(d) 1.369
te) 3.63.609
(f) 1.00.489
841​

Answer 1

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How many digits are there in the square root of the following numbers. Find the answers without actually finding the square root

$\huge\tt\colorbox{pink}{Answer}$

(i) Here, 64 contains two digits which is even.

Therefore, number of digits in square root = $\frac{n}{2} = \frac{2}{2} = 1$

(ii) Here, 144 contains three digits which is odd.

Therefore, number of digits in square root =

(iii) Here, 4489 contains four digits which is even.

Therefore, number of digits in square root = $\frac{n+ 1}{2} = \frac{3 + 1}{2} = \frac{4}{2} = 2$

(iv) Here, 27225 contains five digits which is odd.

Therefore, number of digits in square root = $\frac{n}{2} = \frac{5 + 1}{2} = 3$

(v) Here, 390625 contains six digits which is even.

Therefore, number of digits in square root = $\frac{n}{2} = \frac{6}{2} = 3$

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