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Simplifying radical expressions calculator
This calculator simplifies expressions involving radicals. The calculator reduces the radical expressions to their simplest form, trying to remove all the radicals from the expression. The calculator shows each step with easy-to-understand explanations.
solution
$$\sqrt{220}=2\sqrt{55}$$explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{220}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}} \sqrt{ 4 \cdot 55 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}} \sqrt{ 4 } \cdot \sqrt{ 55 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2\sqrt{55}\end{aligned} $$ | |
| ① | Factor out the largest perfect square of 220. ( in this example we factored out $ 4 $ ) |
| ② | Rewrite $ \sqrt{ 4 \cdot 55 } $ as the product of two radicals. |
| ③ | The square root of $ 4 $ is $ 2 $. |
Plase, rate this answer so I can improve algorithm for creating a step by step explanations.
working...
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:
$$\frac{1-\sqrt{2}}{1+\sqrt{2}}$$
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