Which choice is equivalent to the fraction below when X is an appropriate value? Hint: Rationalize denominator and simplify

Option A. –2 – 2√2

Step-by-step explanation:

√8 / √2 – 2

The above expression can be simplified as follow.

√8 / (√2 – 2)

Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:

√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)

√8(√2 + 2) / (√2 – 2)(√2 + 2)

√16 + 2√8 / 2 + 2√2 – 2√2 – 4

√16 + 2√8 / 2 – 4

√16 + 2√8 / –2

Recall

√16 = 4

√8 = √(4×2) = √4 × √2 = 2√2

Thus,

√16 + 2√8 / –2 = 4 + 2×2√2 / –2

= (4 + 4√2) / –2

= 4/–2 + 4√2/–2

= –2 – 2√2

Therefore,

√8 / (√2 – 2) = –2 – 2√2

Thus, option A gives the correct answer to the question.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

1. 523.33 cubic inches

2. 113.04 cubic inches.

3. 17.41.

4. 16.49

i think this should be your answer

hope i

-lavira : )