Which of the following is a square number?a)20b)24c)25d)30Correct answ...
A square number is a number that can be represented as the product of an integer multiplied by itself. 25 is a square number because it is equal to 5x5.
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Which of the following is a square number?a)20b)24c)25d)30Correct answ...
Understanding Square NumbersSquare numbers, also known as perfect squares, are integers that can be expressed as the product of an integer multiplied by itself. For example, the number 4 is a square number because it can be written as \(2 \times 2\).
Identifying the OptionsLet's evaluate the provided options:
- Option a: 20 - This is not a square number. The closest integers are \(4^2 = 16\) and \(5^2 = 25\).
- Option b: 24 - This is also not a square number. The closest squares are \(4^2 = 16\) and \(5^2 = 25\).
- Option c: 25 - This is a square number because it can be expressed as \(5 \times 5\) or \(5^2\).
- Option d: 30 - This is not a square number. The closest squares are \(5^2 = 25\) and \(6^2 = 36\).
ConclusionIn summary, among the options given, option 'C' (25) is indeed a square number because it is the product of the integer 5 multiplied by itself. The other options (20, 24, and 30) do not meet the criteria for square numbers. Understanding square numbers is fundamental as it lays the groundwork for more advanced mathematical concepts.
Which of the following is a square number?a)20b)24c)25d)30Correct answ...
Understanding Square Numbers
Square numbers are the product of an integer multiplied by itself. For example, \( n^2 \) (where \( n \) is an integer) gives us square numbers. The first few square numbers are:
- \( 1^2 = 1 \)
- \( 2^2 = 4 \)
- \( 3^2 = 9 \)
- \( 4^2 = 16 \)
- \( 5^2 = 25 \)
- \( 6^2 = 36 \)
Identifying Square Numbers Among Options
Let's analyze the options provided:
- a) 20: This is not a square number. The closest integers are \( 4^2 = 16 \) and \( 5^2 = 25 \).
- b) 24: This is also not a square number. It falls between \( 4^2 = 16 \) and \( 5^2 = 25 \).
- c) 25: This is a square number, as it equals \( 5^2 \).
- d) 30: This is not a square number. The square numbers surrounding it are \( 5^2 = 25 \) and \( 6^2 = 36 \).
Conclusion
Thus, among the options provided, 25 (option c) is the only square number because it can be expressed as \( 5 \times 5 \). Understanding how to identify square numbers is essential in mathematics, especially in recognizing patterns and solving problems in number theory.