Online surds calculator that allows you to make calculations in exact form with square roots: sum, product, difference, ratio.

simplify_surd online

The **surds calculator** is able to simplify
**square roots** (**radix**) of an algebraic expression. The **square root calculation**
is done online in exact form. The **radix calculator** is allows to do **online calculation** and to
**simplify online** **square roots** (surds), product of surds (radix), quotients of surds.
In addition to giving the exact result, the **square root calculator** will specify the different **calculation steps**.
Generally the notation of the square root, is **√**, with the calculator, it is necessary to use the notation **sqrt**.

To **simplify square root** using the **calculator**, just enter the term to simplify and apply the
simplify_surd function.

Thus, to calculate the following radical `sqrt(99)`, enter simplify_surd(`sqrt(99)`) or directly sqrt(99), if the simplify_surd already appears , the result `3*sqrt(11)` is returned.

To simplify squares roots, the calculator uses the square root function properties:

- The square root of a product is equal to the product of square roots, `sqrt(a*b)=sqrt(a)*sqrt(b)` if a and b are positive;
- The square root of a quotient is equal to the quotient of the square roots, `sqrt(a/b)=sqrt(a)/sqrt(b)` if a and b are positive;
- The square root of a squared number is equal to the absolute value of this number, `sqrt(a^2)=abs(a)`.

The **square root calculator** also calculates online radical products in exact form.

Thus, for calculating the product of the following square roots `sqrt(33)*sqrt(6)`, enter simplify_surd(`sqrt(33)*sqrt(6)`), the result `3*sqrt(22)` is returned.

The **online square root calculator** can symplify surds root quotients in exact form.

Thus, for calculating the quotient of the following square roots `sqrt(72)/sqrt(6)`, just enter simplify_surd(`sqrt(72)/sqrt(6)`) the result `2*sqrt(3)` is returned.

Thus, for calculating the square root fraction following `sqrt(99)/sqrt(6)`, just enter simplify_surd(`sqrt(99)/sqrt(6)`) the result with the calculation stpes is returned.

Online square root calculator returns the calculation steps for a better understanding.

To practice the different calculation techniques, several quizzes on calculating with surds are offered.

Online surds calculator that allows you to make calculations in exact form with square roots: sum, product, difference, ratio.

This examples shows **how to symplify square roots** with the calculator :

- simplify_surd(`sqrt(48)`) returns `4*sqrt(3)`
- simplify_surd(`sqrt(72)`) returns `6*sqrt(2)`

See also

- Cube root : cube_root. The cube_root function calculates online the cube root of a number.
- Simplifying surds calculator : simplify_surd. Online surds calculator that allows you to make calculations in exact form with square roots: sum, product, difference, ratio.
- Square root : sqrt. The sqrt function allows to calculate the square root of a number in exact form.
- Simplify Calculator : simplify. Calculator wich can simplify an algebraic expression online.