Square & Square Root
Learn what a perfect square is, recognise impossible unit digits, use remainder tests, count numbers between consecutive squares, and connect square roots with square dimensions.
Topic article hub
4 bilingual articles
Square Numbers: Meaning, Tests and Useful Patterns
Learn what a perfect square is, recognise impossible unit digits, use remainder tests, count numbers between consecutive squares, and connect square roots with square dimensions.
Open article →Square Root Meaning and Prime Factorisation Method
Understand principal square-root notation, distinguish the two solutions of x² = n, pair prime factors to find exact roots, and repair an imperfect square with the least factor.
Open article →Square Root by Long Division: Step-by-Step Method
Find square roots of large perfect squares by pairing digits, choosing each quotient digit, doubling the partial root, testing the next divisor, and checking the remainder.
Open article →Decimal Square Roots, Radical Laws and Approximation
Extend long division to decimal roots, simplify roots of products and quotients with their conditions, handle fractions correctly, and bound non-square roots between nearby integers.
Open article →Article access
Preview freely, then unlock focused reading
Each permanent article page includes its summary, learning context and sources. Registration unlocks all complete bilingual articles for 24 hours; Annual All Access continues afterward for ₹1,499/year.