Question

1. The following numbers are not perfect squares. Give reason:
(a)1547
(b)8948
(c)45743
(d)333333
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Answer 1

1. a square never ends with 7
2. a square never ends with 8
3. a square number never ends with 3
4. square number never ends with 3

Answer 2

Answer:

A natural number is called a perfect square if it is the square of some natural number.

Also the unit digit of a perfect square can be only 0, 1, 4, 5, 6 or 9.

The square of a number having:

1 or 9 at the units place ends in1.

2 or 8 at the units place ends in 4.

3 or 7 at the units place ends in 9.

4 or 6 at the units place ends in 6.

5 at the units place ends in 5.

0 at the units place ends in 0.

And in the given numbers

(a)1547

(b)8948

(c)45743

(d)333333

Unit digits are 7,8,3,3.  

So, the given numbers are not perfect squares.