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Question
cube\sqrt{0.000216}
Simplify the expression
\frac{3\sqrt{6}\times e}{500}cub
Evaluate
cube\sqrt{0.000216}
Simplify the root
More Steps
Evaluate
\sqrt{0.000216}
Rewrite the expression
More Steps
Evaluate
0.000216
Convert the decimal into a fraction
\frac{216}{1000000}
Reduce the fraction
\frac{27}{125000}
\sqrt{\frac{27}{125000}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt{27}}{\sqrt{125000}}
Simplify the radical expression
More Steps
Evaluate
\sqrt{27}
Write the expression as a product where the root of one of the factors can be evaluated
\sqrt{9\times 3}
\text{Write the number in exponential form with the base of }3
\sqrt{3^{2}\times 3}
The root of a product is equal to the product of the roots of each factor
\sqrt{3^{2}}\times \sqrt{3}
\text{Reduce the index of the radical and exponent with }2
3\sqrt{3}
\frac{3\sqrt{3}}{\sqrt{125000}}
Simplify the radical expression
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Evaluate
\sqrt{125000}
Write the expression as a product where the root of one of the factors can be evaluated
\sqrt{62500\times 2}
\text{Write the number in exponential form with the base of }250
\sqrt{250^{2}\times 2}
The root of a product is equal to the product of the roots of each factor
\sqrt{250^{2}}\times \sqrt{2}
\text{Reduce the index of the radical and exponent with }2
250\sqrt{2}
\frac{3\sqrt{3}}{250\sqrt{2}}
Multiply by the Conjugate
\frac{3\sqrt{3}\times \sqrt{2}}{250\sqrt{2}\times \sqrt{2}}
Multiply the numbers
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Evaluate
\sqrt{3}\times \sqrt{2}
The product of roots with the same index is equal to the root of the product
\sqrt{3\times 2}
Calculate the product
\sqrt{6}
\frac{3\sqrt{6}}{250\sqrt{2}\times \sqrt{2}}
Multiply the numbers
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Evaluate
250\sqrt{2}\times \sqrt{2}
When a square root of an expression is multiplied by itself,the result is that expression
250\times 2
Multiply the terms
500
\frac{3\sqrt{6}}{500}
cube\times \frac{3\sqrt{6}}{500}
Use the commutative property to reorder the terms
ecub\times \frac{3\sqrt{6}}{500}
Solution
More Steps
Evaluate
e\times \frac{3\sqrt{6}}{500}
Multiply the numbers
\frac{e\times 3\sqrt{6}}{500}
Multiply the numbers
More Steps
Evaluate
e\times 3\sqrt{6}
Use the commutative property to reorder the terms
3e\sqrt{6}
Use the commutative property to reorder the terms
3\sqrt{6}\times e
\frac{3\sqrt{6}\times e}{500}
\frac{3\sqrt{6}\times e}{500}cub
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