square roots calculator

Calculus simplify_sqrt

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Function : simplify_sqrt

Summary :

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

Simplify_sqrt online

Description :

The simplify_sqrt function is a square root calculator that simplifies square roots (radicals) of an algebraic expression. The square root calculation is done online in exact form. The simplify_sqrt function is allows to do online calculation and to simplify online square roots (radicals), product of radicals (square roots), quotients of radicals. 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_sqrt function.

Thus, to calculate the following radical `sqrt(99)`, enter simplify_sqrt(`sqrt(99)`) or directly sqrt(99), if the simplify_sqrt 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 (radical 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_sqrt(`sqrt(33)*sqrt(6)`), the result `3*sqrt(22)` is returned.

Square root fraction calculator (radicals quotient)

The online calculator of square root can calculate online square root quotients in exact form.

Thus, for calculating the quotient of the following square roots `sqrt(72)/sqrt(6)`, just enter simplify_sqrt(`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_sqrt(`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.


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


Syntax :

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


Examples :

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

Calculate online with simplify_sqrt (square roots calculator)
See also :
  • Cube root : cube_root. The cube_root function calculates online the cube root of a number.
  • Square roots calculator : simplify_sqrt. Online 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.