among the following a perfect square 2345893;1486238;156282;10816
Answers
Answer:
Step-by-step explanation:
10816
10816 is a perfect square number
Given:
2345893, 1486238, 156282, 10816
To find:
Which of the following a perfect square
Solution:
A perfect square
- A perfect square or square number is a positive integer that is square of an another integer or which can be written in the form of a²
- Example:
here are first 10 natural numbers squares
Square of 2 = 2 × 2 = 4, here 4 can be written as 2²
Square of 3 = 3 × 3 = 9, here 9 can be written as 3²
Square of 4 = 4 × 4 = 16, here 16 can be written as 4²
Square of 5 = 5 × 5 = 25, here 25 can be written as 5²
Square of 6 = 6 × 6 = 36, here 36 can be written as 6²
Square of 7 = 7 × 7 = 49, here 49 can be written as 7²
Square of 8 = 8 × 8 = 64, here 64 can be written as 8²
Square of 9 = 9 × 9 = 81, here 81 can be written as 9²
Square of 10 = 10× 10 = 100, here 100 can be written as 100²
From above example we can conclude that when we square a number the unit digit must be 1 or 4 or 5 or 6 or 9 or 0
Given numbers are 2345893, 1486238, 156282, 10816
Unit digit of 2345893 is 3
⇒ 2345893 cannot be a perfect square
Unit digit of 1486238 is 8
⇒ 1486238 cannot be a perfect square
Unit digit of 156282 is 2
⇒ 156282 cannot be a perfect square
Unit digit of 10816 is 6
⇒ 10816 is a perfect square number
Therefore, from given numbers 10816 is a perfect square number
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