Skill: radicals

Simplifying Radicals Calculator

Three tools in one: simplify any square root by hunting perfect squares, add or subtract radicals
step by step, or rationalize a denominator. Every answer comes with the full working shown.

Simplify a square root

Enter a radicand. The calculator finds the largest perfect square hiding inside and pulls it out.

√n = √(c²·m) = c√m

Radicand n

Add or subtract radicals

Enter two radical terms. Each is simplified first — then combined if the radicands match.

a√m ± b√n → simplify each, combine if like

First coefficient

First radicand

Operation

Second coefficient

Second radicand

Rationalize a denominator

Enter p/√q. The calculator multiplies by √q/√q and reduces the result.

p/√q = (p√q)/q → reduce

Numerator p

Denominator radicand q

Standard form never leaves a radical in a denominator — “no radicals downstairs.”