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Show that the following numbers are not perfect squares:
(i) 9327
(ii) 4058
(iii) 22453
(iv) 743522.
To do:
We have to show that the given numbers are not perfect squares.
Solution:
The unit digit of a perfect square can be only 0, 1, 4, 5, 6 or 9.
(i) Here, the unit digit of the given number is 7.
Therefore,
9327 is not a perfect square.
(ii) Here, the unit digit of the given number is 8.
Therefore,
4058 is not a perfect square.
(iii) Here, the unit digit of the given number is 3.
Therefore,
22453 is not a perfect square.
(iv) Here, the unit digit of the given number is 2.
Therefore,
743522 is not a perfect square.
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