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Class 10MathematicsReal NumbersIrrational numbersExpertLevel 13

Which option correctly tells which is greater between (2\sqrt{3}) and (3\sqrt{2})?

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Answer and explanation

Correct answer: (3\sqrt{2}) is greater

Step 1: Both numbers are positive, so compare their squares. Step 2: ((2\sqrt{3})^2=12) and ((3\sqrt{2})^2=18), so (3\sqrt{2}) is greater. Step 3: Squaring is a safe method for comparing positive surds.

Tags

comparison of surdsnumber senseclass 10

Frequently asked questions

What is the correct answer to this question?

(3\sqrt{2}) is greater

Why is this the correct answer?

Step 1: Both numbers are positive, so compare their squares. Step 2: ((2\sqrt{3})^2=12) and ((3\sqrt{2})^2=18), so (3\sqrt{2}) is greater. Step 3: Squaring is a safe method for comparing positive surds.

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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