Square Root & Nth Root Calculator
Calculate roots & simplify radical expressions
Quick Picks:
Root Evaluation
√144
12
Exact Perfect Square (12² = 144)
Mathematical Breakdown:
Frequently Asked Questions
The square root of a number x is a value y such that
y × y = x. For example, √144 = 12 because 12 × 12 = 144.
Factor the number into prime factors or look for the largest perfect square factor. For √72: 72 = 36 × 2. Since √36 = 6, the simplified form is 6√2.
In real numbers, the square root of a negative number is undefined. However, in complex mathematics, √(-1) is represented by the imaginary unit i. For instance, √(-16) = 4i.