Question

Rewrite the irrational cube root 189−−−√3 as the product of an integer and another irrational cube root. Show your work. make this 3 sentences sound like a 6th grader and do NOT plagiairze

Answer 1

To break down the cube root of 189, we want to express it as the product of a whole number and another cube root. First, we can find a perfect cube that goes into 189, which is 27 since \(27 = 3^3\). So, we can write the cube root of 189 like this: \( \sqrt[3]{189} = \sqrt[3]{27} \times \sqrt[3]{7} \), which gives us \(3 \times \sqrt[3]{7}\) because the cube root of 27 is 3!