# Ex.6.3 Q2 Squares and Square Roots - NCERT Maths Class 8

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## Question

Without doing any calculations, find the numbers which are surely not perfect squares.

(i) \(153\)

(ii) \(257\)

(iii) \(408\)

(iv) \( 441\)

Video Solution

Squares And Square Roots

Ex 6.3 | Question 2

## Text Solution

**What is known?**

Numbers

**What is unknown?**

Numbers which are surely not perfect square.

**Reasoning:**

The perfect square of a number can end with \(0, 1, 2, 4, 5, 6\) or \(9\) at unit’s place.

**Steps**

(i) \(153\)

Since the number \(153\) has \(3\) at its unit’s place, it is not a perfect square.

(ii) \(257\)

Since the number \(257\) has \(7\) at its unit’s place, it is not a perfect square.

(iii) \(408\)

Since the number \(408\) has \(8\) at its unit’s place, it is not a perfect square..