Question

45 points!! Please help and show the steps

Answer 1

This is a good question, and also easy...

BY THE WAY .... YOUR QUESTION SHOULD LOOK LIKE:
$\sqrt[3]{375} -4 \sqrt[3]{3}$

The idea is that you need to factor the number 375 to its multiples and extract all possible factors from the cube root ....... as follows

375 = 3 * 5 * 5 * 5 = 3 * (5)^3

then:
$\sqrt[3]{375} = \sqrt[3]{3*5^3} =5 \sqrt[3]{3}$


Now you are able to subtract two similar terms:
$\sqrt[3]{375} -4 \sqrt[3]{3}= 5\sqrt[3]{3} -4\sqrt[3]{3}=\sqrt[3]{3}(5-4)=\sqrt[3]{3}$

I hope that helps!