Question

Rewrite the expression | √7 - 7| without the absolute value.

- a) 7 - √7
- b) 7 + √7
- c) √7 - 7
- d) √7 + 7

Answer 1

To rewrite | √7 - 7| without the absolute value, there are two possible answers: √7 - 7 or 7 - √7.

Step-by-step explanation:

To rewrite the expression | √7 - 7| without the absolute value, we need to consider the two possible cases when the expression is positive and negative.

Case 1: When √7 - 7 is positive. In this case, we can write | √7 - 7| as √7 - 7. Therefore, the answer is c) √7 - 7.

Case 2: When √7 - 7 is negative. In this case, we can write | √7 - 7| as -(√7 - 7). Simplifying this expression, we get -√7 + 7. Therefore, another possible answer is a) 7 - √7.