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Class 10MathematicsReal NumbersIrrational numbersMediumLevel 13

Which number is an irrational number between (8) and (9)?

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Answer and explanation

Correct answer: (\sqrt{65})

Step 1: Since (64<65<81), (8<\sqrt{65}<9). Step 2: (65) is not a perfect square, so (\sqrt{65}) is irrational. Step 3: The square root of a number between two perfect squares lies between their roots.

Tags

real-numbersirrational-between-numberssqrt65

Frequently asked questions

What is the correct answer to this question?

(\sqrt{65})

Why is this the correct answer?

Step 1: Since (64<65<81), (8<\sqrt{65}<9). Step 2: (65) is not a perfect square, so (\sqrt{65}) is irrational. Step 3: The square root of a number between two perfect squares lies between their roots.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.

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