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Which option correctly describes (\frac{\sqrt{45}}{3})?

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Answer and explanation

Correct answer: Irrational because it equals (\sqrt{5})

Step 1: (\sqrt{45}=3\sqrt{5}). Step 2: (\frac{\sqrt{45}}{3}=\sqrt{5}) which is irrational. Step 3: Even after division check the remaining radical.

Related tags

SimplificationQuotientIrrational NumbersClass 10

Frequently asked questions

What is the correct answer to this question?

Irrational because it equals (\sqrt{5})

Why is this the correct answer?

Step 1: (\sqrt{45}=3\sqrt{5}). Step 2: (\frac{\sqrt{45}}{3}=\sqrt{5}) which is irrational. Step 3: Even after division check the remaining radical.

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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