put these numbers in order from least to greatest. -\\frac{13}{2} -\\sqrt{17} -\\sqrt{75}

Explanation:

Step1: Approximate the square - root values

We know that $4^2 = 16$, so $\sqrt{17}\approx4.123$ and $-\sqrt{17}\approx - 4.123$. Also, $8^2=64$ and $9^2 = 81$, so $\sqrt{75}\approx8.66$ and $-\sqrt{75}\approx - 8.66$. And $-\frac{13}{2}=-6.5$.

Step2: Compare the negative numbers

For negative numbers, the larger the absolute - value, the smaller the number. The absolute values are $|-\sqrt{75}|\approx8.66$, $|-\frac{13}{2}| = 6.5$, $|-\sqrt{17}|\approx4.123$.

Answer:

$-\sqrt{75},-\frac{13}{2},-\sqrt{17}$