mathematics Verified Precision Tool
Square Root Calculator
Calculate principal square roots sqrt(x) and nth roots of positive numbers.
Calculation Solution
sqrt(100) = 10.000000
Principal Square Root
Mathematical Formula
y = sqrt(x) where y^2 = x
Overview & Explanation
The square root of a number x is a value y such that y * y = x.
How It Works
- Find the non-negative number y whose square equals x.
Practical Applications
- Pythagorean theorem geometry calculations.
- Standard deviation formulas in statistics.
Worked Example: sqrt(144)
Find square root of 144.
1
Find y such that y^2 = 144
12 * 12 = 144
= 12
Frequently Asked Questions
Can a negative number have a real square root?
No. Negative numbers have imaginary square roots involving the imaginary unit i.
Related Calculators
mathematics
Cube Root Calculator
Calculate real cube roots cbrt(x) for positive and negative numbers.
Use Calculator
mathematics
Exponent Calculator
Calculate powers, exponents, base raised to power x^y, and scientific exponentiation.
Use Calculator
mathematics
Scientific Notation Calculator
Convert numbers into standard scientific notation (a * 10^b) and engineering notation.
Use Calculator