Question

What is the following product? ^3sqrt 24 * ^3sqrt 45

Answer 1

Answer:

$6\sqrt[3]{5}$

Step-by-step explanation:

$\sqrt[3]{24}$ * $\sqrt[3]{45}$

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 =$2^{3}$.

$\sqrt[3]{24} = \sqrt[3]{3 * 8} = 2*\sqrt[3]{3}$ = 2\sqrt[3]{3}[/tex]

Substitute this into the equation.

$2\sqrt[3]{3}*\sqrt[3]{45} = 2\sqrt[3]{3*45} = 2\sqrt[3]{135}$

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 =$3^{3}$.

$2\sqrt[3]{135} = 2\sqrt[3]{5 * 27} = 2*3\sqrt[3]{5} = 6\sqrt[3]{5}$

Answer 2

Answer:

295.77

Step-by-step explanation:

Solution :

^3sqrt 24 * ^3sqrt 45

∛24 * ∛45 =295.77