Math Playground
Algebra

Square roots & surds

Simplify √50 to 5√2 — and rationalise denominators.

A surd is a square root that can't simplify to a whole number — like √2 or √7. They're irrational.

Simplify

Pull perfect squares out: √50 = √(25·2) = 5√2.

Rationalise the denominator

Multiply top and bottom by the surd: 1/√2 = √2/2.