Simplifying radical expressions calculator

This calculator simplifies ANY radical expressions.

Example 1: to simplify $(\sqrt{2}-1)(\sqrt{2}+1)$ type (r2 - 1)(r2 + 1).

Example 2: to simplify $\left( \frac{2}{\sqrt{3} - 1} + \frac{3}{\sqrt{3}-2} + \frac{15}{3- \sqrt{3}}\right)\cdot \frac{1}{5+\sqrt{3}}$ type (2/(r3 - 1) + 3/(r3-2) + 15/(3-r3))(1/(5+r3)).

Simplifying Radical Expressions
Replace square root sign ( ) with letter r.
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examples
example 1:ex 1:
$$\sqrt{125}$$
example 2:ex 2:
$$(7-\sqrt3)(2+\sqrt3)^2$$
example 3:ex 3:
$$2\sqrt{50}-\sqrt{32}+\sqrt{72}-2\sqrt{8}$$
example 4:ex 4:
$$\frac{6}{\sqrt{21}+\sqrt{7}+2\sqrt{3}+2}$$
example 5:ex 5:
$$\frac{1-\sqrt{2}}{1+\sqrt{2}}$$
example 6:ex 6:
$$\left(\frac{15}{\sqrt6 + 1} + \frac{4}{\sqrt6 - 2} - \frac{12}{3-\sqrt6}\right) \cdot (\sqrt6 + 11)$$
example 7:ex 7:
$$ \frac{\sqrt{27}-\sqrt{8}}{\sqrt3+\sqrt2-\frac{\sqrt6}{\sqrt3+\sqrt2}} - \frac{\sqrt{27}+\sqrt{8}}{\sqrt3-\sqrt2+\frac{\sqrt6}{\sqrt3-\sqrt2}}$$

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