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

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Explanation:

GAF

Answer 2

Answer: The correct option is

(C)
`√(105)` is slightly greater than 10, so
`15-√(105)` is less than 5.

Step-by-step explanation: We are given to select the correct statement that accurately compare
`15-√(105)` and
`5`.

We have

`√(105)=10.2469,`

so, we get

`15-√(105)=15-10.2469=4.7531.`

Since 4.7531 < 5, so

`15-√(105)<5.`

Therefore,
`√(105)` is slightly greater than 10, so
`15-√(105)` is less than 5.

Thus, the correct option is (C).