# 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) \( 441\)

## 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..