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Question
S^{3}\times 960244-127-0-17
Simplify the expression
960244S^{3}-144
Evaluate
S^{3}\times 960244-127-0-17
Use the commutative property to reorder the terms
960244S^{3}-127-0-17
Removing 0 doesn't change the value,so remove it from the expression
960244S^{3}-127-17
Solution
960244S^{3}-144
Show Solutions
Factor the expression
4\left(240061S^{3}-36\right)
Evaluate
S^{3}\times 960244-127-0-17
Use the commutative property to reorder the terms
960244S^{3}-127-0-17
Removing 0 doesn't change the value,so remove it from the expression
960244S^{3}-127-17
Subtract the numbers
960244S^{3}-144
Solution
4\left(240061S^{3}-36\right)
Show Solutions
Find the roots
S=\frac{\sqrt[3]{1440366^{2}}}{240061}
Alternative Form
S\approx 0.053128
Evaluate
S^{3}\times 960244-127-0-17
To find the roots of the expression,set the expression equal to 0
S^{3}\times 960244-127-0-17=0
Use the commutative property to reorder the terms
960244S^{3}-127-0-17=0
Removing 0 doesn't change the value,so remove it from the expression
960244S^{3}-127-17=0
Subtract the numbers
960244S^{3}-144=0
Move the constant to the right-hand side and change its sign
960244S^{3}=0+144
Removing 0 doesn't change the value,so remove it from the expression
960244S^{3}=144
Divide both sides
\frac{960244S^{3}}{960244}=\frac{144}{960244}
Divide the numbers
S^{3}=\frac{144}{960244}
\text{Cancel out the common factor }4
S^{3}=\frac{36}{240061}
\text{Take the }3\text{-th root on both sides of the equation}
\sqrt[3]{S^{3}}=\sqrt[3]{\frac{36}{240061}}
Calculate
S=\sqrt[3]{\frac{36}{240061}}
Solution
More Steps
Evaluate
\sqrt[3]{\frac{36}{240061}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt[3]{36}}{\sqrt[3]{240061}}
Multiply by the Conjugate
\frac{\sqrt[3]{36}\times \sqrt[3]{240061^{2}}}{\sqrt[3]{240061}\times \sqrt[3]{240061^{2}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[3]{36}\times \sqrt[3]{240061^{2}}
The product of roots with the same index is equal to the root of the product
\sqrt[3]{36\times 240061^{2}}
Calculate the product
\sqrt[3]{1440366^{2}}
\frac{\sqrt[3]{1440366^{2}}}{\sqrt[3]{240061}\times \sqrt[3]{240061^{2}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[3]{240061}\times \sqrt[3]{240061^{2}}
The product of roots with the same index is equal to the root of the product
\sqrt[3]{240061\times 240061^{2}}
Calculate the product
\sqrt[3]{240061^{3}}
\text{Reduce the index of the radical and exponent with }3
240061
\frac{\sqrt[3]{1440366^{2}}}{240061}
S=\frac{\sqrt[3]{1440366^{2}}}{240061}
Alternative Form
S\approx 0.053128
Show Solutions
