Question

Select the approximate value of 9 - √7 on a number line.

Answer 1

The value of 9 - √7 is between 6 and 7:

4 < 7 < 9

⇒ √4 < √7 < √9

⇒ 2 < √7 < 3

⇒ -3 < -√7 < -2

⇒ 9 - 3 < 9 - √7 < 9 - 2

⇒ 6 < 9 - √7 < 7