# 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..

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