If the area of a square is (11) square units then what type of number will its side be?
Answer and explanation
Correct answer: Irrational number
The area of a square is given by side², so its side is \(\sqrt{11}\) units. Since 11 is not a perfect square, \(\sqrt{11}\) cannot be expressed as a ratio of two integers and is therefore irrational. Hence, option D is correct. Exam tip: The square root of a positive integer that is not a perfect square is irrational.
Frequently asked questions
What is the correct answer to this question?
Irrational number
Why is this the correct answer?
The area of a square is given by side², so its side is \(\sqrt{11}\) units. Since 11 is not a perfect square, \(\sqrt{11}\) cannot be expressed as a ratio of two integers and is therefore irrational. Hence, option D is correct. Exam tip: The square root of a positive integer that is not a perfect square is irrational.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Irrational numbers.
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