Radical Equation Calculator

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Simplifying radical expressions calculator

This calculator simplifies ANY radical expressions.

To use it, replace square root sign ( √ ) with letter r.

Example 1: to simplify $(\sqrt2-1)(\sqrt2+1)$
type (r2 – 1)(r2 + 1).

Example 2: to simplify
$\left( \frac2\sqrt3 – 1 + \frac3\sqrt3-2 + \frac153- \sqrt3\right)\cdot \frac15+\sqrt3$
type
(2/(r3 – 1) + 3/(r3-2) + 15/(3-r3))(1/(5+r3)).

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Examples

$ a)~~\sqrt125 $$ b)~~(7-\sqrt3)(2+\sqrt3)^2 $
$ c)~~2\sqrt50-\sqrt32+\sqrt72-2\sqrt8 $$ d)~~\frac6\sqrt21+\sqrt7+2\sqrt3+2 $
$ e)~~\frac1-\sqrt21+\sqrt2 $$ f)~~\left(\frac15\sqrt6 + 1 + \frac4\sqrt6 – 2 – \frac123-\sqrt6\right) \cdot (\sqrt6 + 11) $
$ g)~~\frac\sqrt27-\sqrt8\sqrt3+\sqrt2-\frac\sqrt6\sqrt3+\sqrt2 –
\frac\sqrt27+\sqrt8\sqrt3-\sqrt2+\frac\sqrt6\sqrt3-\sqrt2 $

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Rationalize Radical Denominator

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Radical Equation Calculator

Solve radical equations, step-by-step

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    Equations

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      Rationalize (new)

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    Sequences

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full pad »
x^2x^\msquare\log_\msquare\sqrt\square\nthroot[\msquare]\square\le\ge\frac\msquare\msquare\cdot\divx^\circ\pi
\left(\square\right)^’\fracddx\frac\partial\partial x\int\int_\msquare^\msquare\lim\sum\infty\theta(f\:\circ\:g)H_2O

▭\:\longdivision▭\times \twostack▭▭+ \twostack▭▭– \twostack▭▭\left(\right)\times\square\frac\square\square
Click to reveal more operations
Click to hide operations
\bold\mathrmBasic\bold\alpha\beta\gamma\bold\mathrmAB\Gamma\bold\sin\cos\bold\ge\div\rightarrow\bold\overlinex\space\mathbbC\forall\bold\sum\space\int\space\product\bold\beginpmatrix\square&\square\\\square&\square\endpmatrix\boldH_2O
\square^2x^\square\sqrt\square\nthroot[\msquare]\square\frac\msquare\msquare\log_\msquare\pi\theta\infty\int\fracddx
\ge\le\cdot\divx^\circ(\square)|\square|(f\:\circ\:g)f(x)\lne^\square
\left(\square\right)^’\frac\partial\partial x\int_\msquare^\msquare\lim\sum\sin\cos\tan\cot\csc\sec
\alpha\beta\gamma\delta\zeta\eta\theta\iota\kappa\lambda\mu
\nu\xi\pi\rho\sigma\tau\upsilon\phi\chi\psi\omega
AB\Gamma\DeltaEZH\ThetaK\LambdaM
N\Xi\PiP\SigmaT\Upsilon\PhiX\Psi\Omega
\sin\cos\tan\cot\sec\csc\sinh\cosh\tanh\coth\sech
\arcsin\arccos\arctan\arccot\arcsec\arccsc\arcsinh\arccosh\arctanh\arccoth\arcsech
+=\div/\cdot\times<>\le\ge
(\square)[\square]▭\:\longdivision▭\times \twostack▭▭+ \twostack▭▭– \twostack▭▭\square!x^\circ\square^’\square^”\rightarrow
\overline\square\vec\square\in\forall\notin\exist\mathbbR\mathbbC\mathbbN\mathbbZ\square\deg
\int\int\int\int\int\int\int_\square^\square\int_\square^\square\int_\square^\square\int_\square^\square\int_\square^\square\int_\square^\square\sum\sum _n=0^N
\lim\lim _x\to \infty \lim _x\to 0+\lim _x\to 0-\fracddx\fracd^2dx^2\left(\square\right)^’\left(\square\right)^”\frac\partial\partial x
(2\times2)(2\times3)(3\times3)(3\times2)(4\times2)(4\times3)(4\times4)(3\times4)(2\times4)(5\times5)

(1\times2)(1\times3)(1\times4)(1\times5)(1\times6)(2\times1)(3\times1)(4\times1)(5\times1)(6\times1)(7\times1)
\mathrmRadians\mathrmDegrees\square!()%\mathrmclear
\arcsin\sin\sqrt\square789\div
\arccos\cos\ln456\times
\arctan\tan\log123
\piex^\square0.\bold=+



Most Used Actions

\mathrmsimplify
\mathrmsolve\:for
\mathrminverse
\mathrmtangent
\mathrmline




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      Examples

      • \sqrt3+x=-2
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      • \sqrtx-1-x=-7
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      • \sqrtx\sqrtx-7=12
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      • \sqrt17x-\sqrtx^2-5=7
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      • \left(2x-5\right)^\frac13=3
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      • \sqrtx-3=3+\sqrtx
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