Show that the following numbers are not perfect squares:
(i) 9327 (ii) 4058
(iii) 22453 (iv) 743522

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Solution

(i) 9327
$∵$ The units digit of 9327 is 7
$∴$ This number can't be a perfect square

(ii) 4058
$∵$ The units digit of 4058 is 8
$∴$ This number can't be a perfect square

(iii) 22453
$∵$ The units digit of 22453 is 3
$∴$ This number can't be a perfect square

(iv) 743522
$∵$ The units digit of 743522 is 2
$∴$ This number can't be a perfect square

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The following numbers are not perfect squares . Give reason :
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(iii) 8948 (iv) 333333

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

(i) 153 (ii) 257

(iii) 408 (iv) 441

Give a reason to show that none of the numbers given below is perfect square:
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(ii) 5963
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Without doing calculation, find the numbers which are surely not perfect squares.
(i) $153$
(ii) $257$
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