Class 10 · Chapter 1 · Number systems

Real Numbers

Primes as building blocks, and the numbers that can't be written as fractions.

Source: NCERT Mathematics, Class 10

1. 1.1The Fundamental Theorem of ArithmeticAttention · Look at the leaves of the factor tree, not the branches.8 min
2. 1.2HCF and LCM from Prime FactorsAttention · Look at the power of each prime: HCF takes the smaller, LCM the larger.10 min
3. 1.3Proving √2 Is IrrationalAttention · Look at the assumption the proof is built to break.12 min
4. 1.4Mixing Rational and Irrational NumbersAttention · Look at the side made only of rational numbers once the root stands alone.8 min