Simplify Radicals Calculator

Simplify Radicals Formula

Worked Example

The square root of 72:

1. 72 = 36 × 2, and 36 = 6²
2. √72 = 6√2

Perfect power taken out: 6² = 36

Test-day tip

If answer choices are in radical form and you have a decimal from the calculator, square each choice or compare decimals: 6√2 ≈ 8.485.

More Advanced Math Calculators

• Quadratic Formula Calculator

  x = [−b ± √(b² − 4ac)] ÷ 2a

  discriminant b² − 4ac: > 0 two real roots, = 0 one, < 0 complex

  Example: The equation x² − 5x + 6 = 0: Roots: x = 2, x = 3.

  Open the quadratic formula calculator →

• Vertex Form Calculator

  y = a(x − h)² + k, h = −b/2a, k = c − ah²

  vertex (h, k); a > 0 opens up, a < 0 down

  Example: The parabola y = 2x² − 8x + 5: Vertex form: y = 2(x − 2)² − 3.

  Open the vertex form calculator →

• Exponential Growth Calculator

  y = a(1 ± r)ᵗ

  a initial value, r rate per period, t periods; continuous: y = a·e^(±rt)

  Example: 500 growing 8% per period for 5 periods: Value after t periods = 734.6640384.

  Open the exponential growth calculator →

• Cubic Equation Calculator

  ax³ + bx² + cx + d = 0

  roots sum to −b/a and multiply to −d/a

  Example: The equation x³ − 6x² + 11x − 6 = 0: Roots: x = 3, x = 2, x = 1.

  Open the cubic equation calculator →

Frequently asked questions

Sources

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.