Given:
The expression is
[tex]\sqrt[3]{48}=\sqrt[3]{8\cdot \_\_}=[/tex]
To find:
The simplified form of the expression.
Solution:
We have,
[tex]\sqrt[3]{48}=\sqrt[3]{8\cdot \_\_}=[/tex]
The expression [tex]\sqrt[3]{48}[/tex] can be written as
[tex]\sqrt[3]{48}=\sqrt[3]{8\cdot 6}[/tex]
[tex]\sqrt[3]{48}=\sqrt[3]{8}\cdot \sqrt[3]{6}[/tex] [tex][\because \sqrt[3]{ab}=\sqrt[3]{a}\sqrt[3]{b}][/tex]
[tex]\sqrt[3]{48}=2\cdot \sqrt[3]{6}[/tex]
[tex]\sqrt[3]{48}=2\sqrt[3]{6}[/tex]
Therefore, [tex]\sqrt[3]{48}=\sqrt[3]{8\cdot 6}=2\sqrt[3]{6}[/tex].
