NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.4 Part 3

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Image of square root formula to find square root digit

Image of Square Root Formula to Find Square Root Digit

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Image of square root formula to find square root digit

Question 2: Find the number of digits in the square root of each of the following numbers (without any calculation):

(i) 64

(ii) 144

(iii) 4489

(v) 390625

(iv) 27225

Answer:

(i) 64

Here, 64 contain two digits which are even.

Therefore, number of digits in square root

Or

Let us place bars and pair (two digits) the digits from right to left, we get:

There is only one bar.

So, the square root of 64 has only one digit.

(ii) 144

Here, 144 contain three digits which are odd.

Therefore, number of digit in square root

Or

Let us place bars and pair (two digits) the digits from right to left, we get:

There are two bars.

So, the square root of 144 has two digits.

(iii) 4489

Here, 4489 contains four digits which are even.

Therefore, number of digits in square root

Or

Let us place bars and pair (two digits) the digits from right to left, we get:

There are two bars.

So, the square root of 4489 has two digits.

(iv) 390625

Here, 390625 contain six digits which are even.

Therefore, number of digits in square root

Or

Let us place bars and pair (two digits) the digits from right to left, we get: 390625 =

There are three bars.

So, the square root of 390625 has three digits.

(v) 27225

Here, 27225 contain five digits which are odd.

Therefore, number of digits in square root

Or

Let us place bars and pair (two digits) the digits from right to left, we get:

There are three bars.

So, the square root of 144 has three digits.