Question

Which choice is equivalent to the quotient below when -2 < x < 2?

√4-x+√2-x
OA. √2-x
OB. √√2+x-x
OC. 1
OD. √2+x

Answer 1

The equivalent choice is √(6-2x), none of the options in the question.

Step-by-step explanation:

The given expression is √4-x+√2-x. To simplify this expression, we can combine the terms inside the square roots. When adding or subtracting square roots, we can only do so if they have the same radicand. So, √4-x+√2-x is equivalent to √(4-x+2-x), which simplifies to √(6-2x).

Therefore, the equivalent choice is √(6-2x), none of the options in the question.

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