Question

Explain why the cubed root of -8/27 is -2/3

Answer 1

Help me and I’ll help you

Answer 2

Answer:

Because the cubed root of the numerator and denominator equals the answer

Step-by-step explanation:

alright, we are trying to understand WHY $\sqrt[3]{\frac{-8}{27} } = -\frac{2}{3}$

You can actually rewrite the first number as $-\frac{\sqrt[3]{8} }{\sqrt[3]{27} }$

you must look for the number, which three times itself, equals 8...

...and the same thing for the bottom: a number, which three times itself... equals 27.

What number cubed equals 8? The answer is 2

What number cubed equals 27? The answer is 3

...so now we have -2 over 3. You can double check this answer.

$-\frac{2}{3} * -\frac{2}{3} = \frac{4}{9}$

$\frac{4}{9} * -\frac{2}{3} = -\frac{8}{27}$

we get the original number that we were looking for the cubed root... SUCCESS.