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

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.

simplify_surd(x), where x represents the square root to calculate

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

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