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..