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# Without Doing Any Calculation, Find the Number Which Are Surely Not Perfect Squares 153 257 408 441 - CBSE Class 8 - Mathematics

ConceptSquare Roots - Finding Square Roots

#### Question

Without doing any calculation, find the number which are surely not perfect squares

(1) 153

(2) 257

(3) 408

(4) 441

#### Solution

The perfect squares of a number can end with any of the digits 0, 1, 4, 5, 6, or 9 at unit’s place. Also, a perfect square will end with even number of zeroes, if any.

1) Since the number 153 has its unit’s place digit as 3, it is not a perfect square.

2) Since the number 257 has its unit’s place digit as 7, it is not a perfect square.

3) Since the number 408 has its unit’s place digit as 8, it is not a perfect square.

4) Since the number 441 has its unit’s place digit as 1, it is a perfect square.

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#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 6: Squares and Square Roots
Ex. 6.30 | Q: 2 | Page no. 102
Solution Without Doing Any Calculation, Find the Number Which Are Surely Not Perfect Squares 153 257 408 441 Concept: Square Roots - Finding Square Roots.
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