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If a student writes (3=\frac{p}{q}) directly from (\sqrt{3}=\frac{p}{q}), what is the correct correction?
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Answer and explanation
Correct answer: Squaring both sides gives (3=\frac{p^2}{q^2})
Step 1: To get (3) from (\sqrt{3}), both sides must be squared. Step 2: The square of a fraction is (\frac{p^2}{q^2}). Step 3: So the correct form is (3=\frac{p^2}{q^2}).
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What is the correct answer to this question?
Squaring both sides gives (3=\frac{p^2}{q^2})
Why is this the correct answer?
Step 1: To get (3) from (\sqrt{3}), both sides must be squared. Step 2: The square of a fraction is (\frac{p^2}{q^2}). Step 3: So the correct form is (3=\frac{p^2}{q^2}).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.
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