If (\sqrt{3}) is assumed rational, in which form is it written?
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Answer and explanation
Correct answer: (\sqrt{3}=\frac{p}{q}), where (p) and (q) are coprime
Step 1: A rational number can be written as a ratio of two integers. Step 2: In the simplest form, (p) and (q) are coprime. Step 3: This form is used later to create a contradiction.
Frequently asked questions
What is the correct answer to this question?
(\sqrt{3}=\frac{p}{q}), where (p) and (q) are coprime
Why is this the correct answer?
Step 1: A rational number can be written as a ratio of two integers. Step 2: In the simplest form, (p) and (q) are coprime. Step 3: This form is used later to create a contradiction.
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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