🎓 Class 10 CBSE
5-Day Study Streak
Roll No: 24
Welcome back, Aarav Sharma! 👋
Your AI Learning OS is tracking 20 Modules in Chapter 1 Real Numbers. Keep up the high performance!
2 / 20
Modules Completed
92%
Math Proficiency (Grade A1)
18
AI Doubts Solved
95%
Quiz Average Score
In Progress
Module 03 of 20 • Real Numbers
Estimated: 15 Mins
Module 03: Proving Irrationality of √p (Proof by Contradiction)
Learn how to rigorously prove that √2, √3, √5, √7 are irrational numbers using Euclid's lemma $p \mid a^2 \implies p \mid a$ and coprime assumptions.
Module Mastery
40% Completed
Interactive Proof
5 Board Practice Qs
AI Recommendation for Board Exams
Proof of irrationality carries 3 Marks every year in CBSE Class 10 Board exams. Complete Module 03 & 04 today to lock this score!
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Chapter 1 Real Numbers - 20-Module Roadmap
CBSE Class 10 Official Curriculum • Track your step-by-step progress
Overall Chapter Completion
10% (2 / 20 Modules)
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Recent Quiz Activity
View AllModule 01: Prime Factorization Drill
Completed Yesterday
10 / 10 (100%)
Grade A+
Module 02: HCF & LCM Word Problems
Completed 3 days ago
9 / 10 (90%)
Grade A
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