Radical Calculator

A radical in mathematics is the opposite of an exponent, symbolized by the sign '√', also known as root. The number before the symbol or radical is an index number or degree, which can either be a square or cube root.(Internal linking for square root and cube root calculator can be done here) This number is a whole number that cancels the radical and is expressed as an exponent.

\( y \sqrt[n]{x} = ? \)

The Mathematics Master online Radical Calculator shows the root value in no time and simplifies the calculation. Any positive number can be converted to its radical form using this simplest radical form calculator.

What Are Radicals?

In mathematics, a radical, also known as a root, is the opposite of an exponent. The root can be an nth root, a square root, or a cube root. Therefore, a radical is any number or phrase that employs a root. The Latin word Radix, which means root, is where the term “radical” originates. The radical can be used to explain various types of roots for a number, including square, cube, fourth, and so on.

How to Use the Radical Calculator?

The radical calculator should be used as follows:

  • Fill in the appropriate input field with the index and radicand.
  • To obtain the value, now click the “Solve” button.
  • The output field will reveal the root value of any number with any index.


How to simplify radicals?

Let’s look at an example of how square roots can be used to simplify radical equations. Consider the radical expression \( \sqrt{486}\).

  • First, determine the number’s factors under the radical.
  • The number under the radical should be written as a product of its factors as powers of 2. \( \sqrt{486} = 3^2 × 3^2 × 3 × 2\)
  • List the exponents of the radical with the power two outside of it. \( \sqrt{486} = \sqrt{(3^2 × 3^2 × 3 × 2)} = 3 × 3  \sqrt{(3 × 2)} = 9 \sqrt{(3 × 2)}\)
  • Continue to simplify the radical until it can no longer be simplified further: \( \sqrt{486} = 9 \sqrt{(3 × 2)} = 9 \sqrt{6}\). No more multiplication is possible at this time.
  • Therefore, the radical expression \( \sqrt{486}\) has been reduced to \(9 \sqrt{6}\) and cannot be further reduced.

What is the simplest radical form?

Simplifying a radical eliminates the need to find further square roots, cube roots, fourth roots, etc. Additionally, it entails removing any radicals from a fraction‘s denominator.

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