Simplify fraction with 8 minus 4 times 3 in the numerator and the cube root of 8 plus 5 in the denominator.

a) twelve sevenths
b) negative twelve sevenths
c) four sevenths
d) negative four sevenths

1 answer

To simplify the fraction, we need to evaluate the numerator and denominator separately.

The numerator is 8 - 4 * 3 = 8 - 12 = -4.

The denominator is the cube root of 8 + 5 = ∛(8 + 5) = ∛13.

So the simplified fraction is -4/∛13.

The correct answer is (d) negative four sevenths.