Answer:
[tex]6\sqrt[3]{5}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{24}[/tex] * [tex]\sqrt[3]{45}[/tex]
Simplify each expression if possible
(Find a cubed number which can be multiplied to make 24/45. In this case, we can only make 24 buy multiplying 3 and 8. 8 =[tex]2^{3}[/tex].
[tex]\sqrt[3]{24} = \sqrt[3]{3 * 8} = 2*\sqrt[3]{3}[/tex] = 2\sqrt[3]{3}[/tex]
Substitute this into the equation.
[tex]2\sqrt[3]{3}*\sqrt[3]{45} = 2\sqrt[3]{3*45} = 2\sqrt[3]{135}[/tex]
Simplify each expression if possible
(Find a cubed number which can be multiplied to make 135. We can make this buy multiplying 5 and 27. 27 =[tex]3^{3}[/tex].
[tex]2\sqrt[3]{135} = 2\sqrt[3]{5 * 27} = 2*3\sqrt[3]{5} = 6\sqrt[3]{5}[/tex]
