If \(\sqrt{3}=\frac{a}{b}\), what will the right side become after squaring?
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Answer and explanation
Correct answer: \(\frac{a^2}{b^2}\)
Step 1: While squaring a fraction, both numerator and denominator are squared. Step 2: Therefore \(\left(\frac{a}{b}\right)^2=\frac{a^2}{b^2}\). Step 3: Squaring only the numerator is a mistake.
Frequently asked questions
What is the correct answer to this question?
\(\frac{a^2}{b^2}\)
Why is this the correct answer?
Step 1: While squaring a fraction, both numerator and denominator are squared. Step 2: Therefore \(\left(\frac{a}{b}\right)^2=\frac{a^2}{b^2}\). Step 3: Squaring only the numerator is a mistake.
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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