In which option is the given number definitely irrational?
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Answer and explanation
Correct answer: (\frac{\sqrt{45}}{3})
Step 1: (\frac{\sqrt{45}}{3}=\frac{3\sqrt{5}}{3}=\sqrt{5}). Step 2: Since (5) is not a perfect square, (\sqrt{5}) is irrational. Step 3: Do not choose an answer in multiplication or division of surds without simplifying.
Frequently asked questions
What is the correct answer to this question?
(\frac{\sqrt{45}}{3})
Why is this the correct answer?
Step 1: (\frac{\sqrt{45}}{3}=\frac{3\sqrt{5}}{3}=\sqrt{5}). Step 2: Since (5) is not a perfect square, (\sqrt{5}) is irrational. Step 3: Do not choose an answer in multiplication or division of surds without simplifying.
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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