Question

Which of the following accurately compare 15-√105 and 5?

Answer 1

The answer is c. I hope that helps

Answer 2

Answer:  The correct option is

(C) $\sqrt{105}$ is slightly greater than 10,  so $15-\sqrt{105}$ is less than 5.

Step-by-step explanation:  We are given to select the correct statement that accurately compare $15-\sqrt{105}$ and $5$.

We have

$\sqrt{105}=10.2469,$

so, we get

$15-\sqrt{105}=15-10.2469=4.7531.$

Since 4.7531 < 5, so

$15-\sqrt{105}$

Therefore, $\sqrt{105}$ is slightly greater than 10,  so $15-\sqrt{105}$ is less than 5.

Thus, the correct option is (C).