# NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.4 Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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.