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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Squares and Square Roots, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
Which of the following is a perfect square number?
- a)222222
- b)23453
- c)1681
- d)1057
Correct answer is 'C'. Can you explain this answer?
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 1681 is 41.
Therefore, the square root of 1681 is an integer, and as a consequence 1681 is a perfect square.
As a consequence, 41 is the square root of 1681.
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As the numbers which are ending with digit 1,4,6and 9 are perfect square
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Understanding Perfect Squares
A perfect square is a number that can be expressed as the square of an integer. In simpler terms, if you can find an integer "n" such that n * n equals the number in question, then that number is a perfect square.
Analyzing the Options
Let’s evaluate each option to determine which is a perfect square:
Conclusion
Out of the given options, only 1681 can be expressed as the square of an integer (41). Hence, the correct answer is Option C: 1681.
Understanding perfect squares is crucial, as they have various applications in mathematics, including geometry, algebra, and number theory.
A perfect square is a number that can be expressed as the square of an integer. In simpler terms, if you can find an integer "n" such that n * n equals the number in question, then that number is a perfect square.
Analyzing the Options
Let’s evaluate each option to determine which is a perfect square:
- Option A: 222222
- The square root of 222222 is approximately 471.4, which is not an integer. - Option B: 23453
- The square root of 23453 is approximately 153.2, which is also not an integer. - Option C: 1681
- The square root of 1681 is exactly 41 (since 41 * 41 = 1681).
- Therefore, 1681 is a perfect square. - Option D: 1057
- The square root of 1057 is approximately 32.5, which is not an integer.
Conclusion
Out of the given options, only 1681 can be expressed as the square of an integer (41). Hence, the correct answer is Option C: 1681.
Understanding perfect squares is crucial, as they have various applications in mathematics, including geometry, algebra, and number theory.
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