Question

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

A.√105 is slightly more than 10, so 15-√105 is greater than 5

B. √105 is slightly less than 10, so 15-√105 is less than 5

C. √105 is slightly more than 10, some 15-√105 is less than 5

D. √105 is slightly less than 10, so 15-√105 is greater than 5

Answer 1

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

$15-\sqrt{105}<5.$

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

Thus, the correct option is (C).

Answer 2

Answer:

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Step-by-step explanation:

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