Question

^3√54 + ^3√16 - ^3√24
Answers I can choose from:
a. ^3√46
b. 4
c. 5^3√2 - 2^3√3
d. 4^3√2

Answer 1

I'm assuming those are cube roots. All you need to do is add up everything inside the roots.
A good way to understand it is if you set the equation equal to x:
\[\sqrt[3]{54}+\sqrt[3]{16}-\sqrt[3]{24} = x\]
Then if you raise all the terms to the power of 3 you end up with:
\[54+16-24=x^3 \]
Once you have that you just add up the numbers on the left and you get
\[46=x^3\]
Then you take the cube root of both sides again to figure out x which ends up being:
\[\sqrt[3]{46}=x\]
Which is answer A

Answer 2

Thank you so much! (: