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, √5MediumLevel 16

In the proof of (\sqrt{5}), (p) is found divisible by (5) from (p^2=5q^2). What is the purpose of putting (p=5k)?

Advertisement

Answer and explanation

Correct answer: To show (q) is also divisible by (5)

Step 1: First (p) is found to have factor (5). Step 2: Substituting (p=5k) in the equation gives (q^2=5k^2). Step 3: This proves (q) is also divisible by (5).

Tags

sqrt5 proofp substitutionclass 10

Frequently asked questions

What is the correct answer to this question?

To show (q) is also divisible by (5)

Why is this the correct answer?

Step 1: First (p) is found to have factor (5). Step 2: Substituting (p=5k) in the equation gives (q^2=5k^2). Step 3: This proves (q) is also divisible by (5).

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