Learning focus 1
Type the value and optionally the root degree (default: square root).
Free online calculator
Square Root Calculator
Find square roots, cube roots, and nth roots of any real number. Handle negative inputs for odd roots and simplify radicals.
Step-by-step solutions
Clear, detailed explanations
Instant results
Accurate answers in seconds
Free to use
No sign-up required
How to Use the Square Root Calculator
1
Enter the number
Type the value and optionally the root degree (default: square root).
2
Compute the root
We find the real nth root, handling signs correctly.
3
Simplify radicals
When possible, the result is shown in simplified radical form.
Example
What the Square Root Calculator Helps You Understand
Find square roots, cube roots, and nth roots of any real number. Handle negative inputs for odd roots and simplify radicals.
Learning focus 2
We find the real nth root, handling signs correctly.
Learning focus 3
When possible, the result is shown in simplified radical form.
Input tips
- • Type the value and optionally the root degree (default: square root).
- • Yes. The cube root of a negative number is negative: ∛(-8) = -2.
Common mistakes to avoid
- • Assuming an even root of a negative number is real.
- • Forgetting both signs when solving an equation such as x squared equals 9.
Frequently Asked Questions
Can it compute cube roots of negative numbers?
Yes. The cube root of a negative number is negative: ∛(-8) = -2.
What about even roots of negative numbers?
Even roots (square, 4th, etc.) of negative numbers are not real. The calculator will indicate this.