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Subjects
Class 10MathematicsReal NumbersProof of irrationality of √2, √3, √5HardLevel 18

Which option is a correct example of an irrational square root because it is not a perfect square?

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Answer and explanation

Correct answer: (\sqrt{5})

Step 1: (4,9,25) are perfect squares, so their square roots are integers. Step 2: (5) is not a perfect square, and (\sqrt{5}) is irrational. Step 3: In options, identify perfect squares first.

Tags

real-numbersroot5perfect-squareirrationalityhard

Frequently asked questions

What is the correct answer to this question?

(\sqrt{5})

Why is this the correct answer?

Step 1: (4,9,25) are perfect squares, so their square roots are integers. Step 2: (5) is not a perfect square, and (\sqrt{5}) is irrational. Step 3: In options, identify perfect squares first.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.

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