# 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.