Square And Cube Root Fraction Calculator Supports Mixed Fractions

The square and cube root fraction calculators are free online tools used to calculate the square/cube root of fraction in a matter of milliseconds. The fraction can be a proper fraction, an improper fraction or a mixed fraction. The calculation rules based on square and cube root of fraction are consistent. Here, it is mainly expanded by square root.

Square Root Fraction Calculator

$fractional exponent$

For example, square root of 214? Enter 2 in the first input box, enter 1 in the second input box and enter 4 in the third input box.

Calculate Reset

Cube Root Fraction Calculator

$fractional exponent$

For example, cube root of 338? Enter 3 in the first and second input box, enter 8 in the third input box.

Calculate Reset

How to calculate square root fraction

Calculating the square root of a fraction is easy if you understand the basics of finding the square root of the number. When the radicand or the base is a fraction, you have to calculate the square root of the numerator and denominator separately. Then you have to divide the numerator by the denominator to simplify the expression. The simplification process depends on the value of the numerator and denominator.

$square root of a fraction$

In general square root calculation, finding the square root of whole integers is simple.

²√121 = ²√11² = 11

To simplify square roots, you have to determine whether any number can be squared to get the base value. The square and square roots will cancel each other. So, the simplification can be done quickly. The problem becomes a complex one when you can’t find how the base value can be written as the square of a number. For example, you can’t simplify ²√131. You need a calculator to evaluate this problem.

Now, if the base is a fraction, then solving the problem becomes even more complex. To evaluate the square root of a fraction, you have to evaluate the square root of the numerator and denominator separately. Then the problem can be solved by dividing the answers.

²√4925 = ²√49²√25 = ²√7²²√5² = 75

If either the numerator or denominator is not a square number, the simplification requires one additional step. You have to rationalize the denominator to arrive at the simplified solution.

²√36112

= ²√36²√112

= 6²√7 * 4²

= 64 √7

= 32 * √7

= 3 * √72 * √7* √7

= 3 √714

Sometimes, the square root fraction can be calculated easily by reducing the fractional base.

²√3624

= ²√64

= ²√6²√4

= ²√64

If the numerator and denominator of the base are bigger numbers, simplifying takes a lot of time. A square root fraction calculator will greatly help you to solve the problem in a few seconds. Now, let’s discuss how the calculator is used.

How to use square/cube root fraction calculator

The calculator is easy to use. In order to support mixed fractions, the calculator has an additional whole number input box, which can be input according to actual needs. The use process is as follows:

1Enter the whole number into the first input box if necessary.
2Enter the numerator into the second input box.
3Enter the denominator into the third input box.
4Click the Calculate button to get the result, and click the Reset button to prepare a new calculation.