Ex.6.1 Q2 Squares and Square Roots Solutions - NCERT Maths Class 8

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Question

The following numbers are obviously not perfect squares. Give reasons.

   (i) \(1057\)

  (ii) \(23453\)

 (iii) \(7928\)

 (iv) \( 222222\)

  (v) \( 64000\)

  (vi) \(89722\)

 (vii) \(222000\)

(viii) \(505050\)

Text Solution

What is known?

Numbers whhich are perfect square

What is unknown?

Why these number are not perfect square

Reasoning:

The square of a number has  \(0,1,4,5,6\) or \(9\) at its unit’s place are perfect squares.

Also, square of a number can only have even number of zeros at the end. 

Steps:

In the above question unit digit of numbers are \(7, 3, 8, 2, 000, 2, 000, 0\) respectively, so these number are obviously not perfect square.