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Rationalize denominator calculator

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This calculator removes square roots from the denominator. The calculator rationalizes denominators containing one or two radical terms. For one radical term, the caluclator multiplies the numerator and denominator by the square root, and for two radical terms, it uses multiplication by the conjugate method. Additionally, the calculator shows all the steps and easy-to-understand explanations.

Rationalize Denominator Calculator
replace the square root sign ( ) with the letter r.
help ↓↓ examples ↓↓
Live Preview
2/r8
r12/r2
2/(r5-r3)
4/(r5-1)
working...
examples
example 1:ex 1:
$$\frac{1}{\sqrt{8}}$$
example 2:ex 2:
$$\frac{\sqrt{2} + 1}{\sqrt{2} -1}$$
example 3:ex 3:
$$\frac{3\sqrt{2} - 2\sqrt{3}}{2\sqrt{3} + 3\sqrt{2}}$$
example 4:ex 4:
$$\frac{1}{\sqrt{21} + \sqrt{7} + 2\sqrt{3} + 2}$$
example 5:ex 5:
$$\frac{\sqrt{3} + \sqrt{2} + 1}{\sqrt{3} - \sqrt{2} + 1}$$
example 6:ex 6:
$$\frac{11 - \sqrt{6}}{\sqrt{6} - 6}$$
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