Answer :
Answer:
[tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
We are required to simplify the quotient: [tex]\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}[/tex]
Since the numerator and denominator both have the same root index, we can therefore say:
[tex]\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}[/tex]
[tex]=\sqrt[3]{3}[/tex]
The simplified form of the given quotient is [tex]\sqrt[3]{3}[/tex].
The quotient of an expression is gotten by dividing the expression by another algebraic expression
The result of the given quotient is [tex]\sqrt[3]{3}[/tex]
The expression is given as:
[tex]\frac{\sqrt[3]{60}}{\sqrt[3]{20}}[/tex]
Rewrite the above expression as follows:
[tex]\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{\frac{60}{20}}[/tex]
Divide 60 by 20
[tex]\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{3}[/tex]
Hence, the result of the given quotient is [tex]\sqrt[3]{3}[/tex]
Read more about quotients at:
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