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प्रश्न
Find the least number of three digits which is perfect square.
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उत्तर
Let us make a list of the squares starting from 1.
12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
The square of 10 has three digits. Hence, the least three-digit perfect square is 100.
संबंधित प्रश्न
Which of the following numbers are perfect squares?
484
Which of the following numbers are perfect squares?
625
Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number in each case:
4761
By what number should each of the following numbers be multiplied to get a perfect square ? Also, find the number whose square is the new number.
3675
By what numbers should each of the following be divided to get a perfect square ? Also, find the number whose square is the new number.
5103
The following number are not perfect squares. Give reason.
1547
The following number is not perfect square. Give reason.
45743
The following number is not perfect square. Give reason.
333333
The product of two perfect squares is a perfect square.
A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number?
(Hint: The digits 1, 0 and 8 stay the same when viewed upside down, whereas 9 becomes 6 and 6 becomes 9.)
