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

Square root calculator

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.

Simplifying square roots online

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)`.

Calculating the product of the square roots online (surds product)

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.

Surds fraction calculator (square root quotient)

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 steps by steps

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

Games and quizzes on calculus with square roots

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

Syntax :

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

Examples :

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)`