Simplify Radicals Calculator
Simplify square-root radicals by extracting the largest perfect-square factor.
Simplify a square root
Answer
6sqrt(2)
- Largest perfect-square factor: 36
How to use the simplify radicals calculator
Use this calculator to rewrite square roots in simplified radical form, such as sqrt(72) = 6sqrt(2).
- Enter a positive whole number under the radical.
- Find the largest perfect-square factor.
- Move its square root outside the radical.
Formula or method
sqrt(a * b) = sqrt(a) * sqrt(b), especially when a is a perfect square.
Worked examples
Simplify sqrt(72)
Problem: sqrt(72)
Solution: 72 = 36 * 2, so sqrt(72) = 6sqrt(2).