What is 30√27/−6√3

Question

?(1 point)
Responses

3
3

−15
negative 15

−3
negative 3

15

Answer 1

To simplify the expression \( \frac{30\sqrt{27}}{-6\sqrt{3}} \), we start by simplifying both the numerator and the denominator.

1. Simplifying the numerator: \[ 30\sqrt{27} = 30\sqrt{9 \times 3} = 30 \times 3\sqrt{3} = 90\sqrt{3} \]

2. The denominator is: \[ -6\sqrt{3} \]

Now, replace the numerator and the denominator in the expression: \[ \frac{90\sqrt{3}}{-6\sqrt{3}} \]

3. The \(\sqrt{3}\) terms in the numerator and denominator cancel out: \[ \frac{90}{-6} = -15 \]

Thus, the simplified expression is: \(-15\)

Therefore, the answer is: \(-15\) (negative 15)