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Subjects
Class 10MathematicsReal NumbersIrrational numbersMediumLevel 14

Which of the following results is not rational?

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Answer and explanation

Correct answer: (\sqrt{3}+\sqrt{75})

Step 1: (\sqrt{75}=5\sqrt{3}), so (\sqrt{3}+\sqrt{75}=6\sqrt{3}). Step 2: (6\sqrt{3}) is irrational, so it is not rational. Step 3: Simplify each option before deciding its nature.

Tags

real-numbersirrational-resultmcq

Frequently asked questions

What is the correct answer to this question?

(\sqrt{3}+\sqrt{75})

Why is this the correct answer?

Step 1: (\sqrt{75}=5\sqrt{3}), so (\sqrt{3}+\sqrt{75}=6\sqrt{3}). Step 2: (6\sqrt{3}) is irrational, so it is not rational. Step 3: Simplify each option before deciding its nature.

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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