Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsReal NumbersProof of irrationality of √2, √3, √5EasyLevel 17

In the proof of (\sqrt{3}), which wrong conclusion should not be taken directly from (a^2=3b^2)?

Advertisement

Answer and explanation

Correct answer: (a=3b)

Step 1: From (a^2=3b^2), (a^2) is divisible by (3). Step 2: Then (a) is divisible by (3), so (a=3k). Step 3: Directly writing (a=3b) from the equation is wrong.

Tags

common mistakesqrt3 proofclass 10

Frequently asked questions

What is the correct answer to this question?

(a=3b)

Why is this the correct answer?

Step 1: From (a^2=3b^2), (a^2) is divisible by (3). Step 2: Then (a) is divisible by (3), so (a=3k). Step 3: Directly writing (a=3b) from the equation is wrong.

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.

Report question
Advertisement