Square Root Calculator
Exact simplified radical plus the decimal value.
Enter your values
ⓘ Live results
Results
- Square root
- 8.48528137
- Simplified radical
- 6√2
- Cube root
- 4.16016765
- Square
- 5184
Working
- 1√72 = √(36 × 2) = 6√2
Quick answer
A square root of n is a value that multiplied by itself gives n; non-perfect squares simplify to a radical times an integer.
√(a²·b) = a√b
How to use the Square Root Calculator
- 1Enter a number.
- 2Read the decimal root.
- 3Use the simplified radical for exact answers in algebra.
Worked example
Using the values the calculator loads with:
Inputs
- Number72
Results
- Square root8.48528137
- Simplified radical6√2
- Cube root4.16016765
- Square5184
- √72 = √(36 × 2) = 6√2
Frequently asked questions
How do I simplify √72?
Pull out the largest perfect square factor: 72 = 36 × 2, so √72 = 6√2.
Can negative numbers have square roots?
Not in the real numbers. √−9 is 3i in the complex numbers.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.