Master Square & Cube Roots from Zero

Square root of n is a number x such that x² = n. Cube root of n is x such that x³ = n. Perfect squares: 1,4,9,16,25,36... Perfect cubes: 1,8,27,64,125...

Key Formulas

Square Root

√n = n^(1/2)

Memorize squares 1-25.

Cube Root

∛n = n^(1/3)

Memorize cubes 1-15.

Simplify

√(a×b) = √a × √b

Split into factors.

⚡ Shortcut Tricks

Memorize squares of 1-30 for speed.

Memorize cubes of 1-15.

√2=1.414, √3=1.732, √5=2.236 — remember these!

If n ends in 1,4,5,6,9,0 — it CAN be a perfect square. If ends in 2,3,7,8 — NOT a perfect square.

✏️ Solved Examples

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