Question

What is the simplest form of the expression?

Answer 1

\[\sqrt[3]{750?}+\sqrt[3]{2058?}-\sqrt[3]{48}\]
A. \[14\sqrt[3]{6}\]
B. \[17.5\sqrt[3]{6}\]
C. \[33\sqrt[3]{6}\]
D. \[10\sqrt[3]{6}\]

My answer: B
Am I correct?

Answer 2

Can you check my answer? @ganeshie8 , @thomaster

Answer 3

I don't think so. Can you factor 6 out of each of the radicands? Like\[\sqrt[3]{162} = \sqrt[3]{(27)(6)}\]

Answer 4

Then you can rewrite like\[\sqrt[3]{162}=\sqrt[3]{(27)(6)}=\sqrt[3]{27}\sqrt[3]{6}=3\sqrt[3]{6}\]

Answer 5

one approach
find the prime factors of each number
see what is the common base and use the distributive property