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Which expression is equivalent to ( 18 – √2) + √( 36)?

a. 2i
b. 10i
c. 4 + 6i
d. 4 – 6i

1 Answer

5 votes

Final answer:

The expression (18 - √2) + √(36) simplifies to 24 - √2, which doesn't contain an imaginary part 'i', hence none of the provided answer choices are correct.

Step-by-step explanation:

The expression (18 − √2) + √(36) can be simplified step by step.

First, calculate the square root of 36.

The square root of a perfect square like 36 is the number that, when multiplied by itself, gives the original number.

Therefore, √(36) = 6.

Next, the expression simplifies to (18 − √2) + 6.

Since √2 is a real number, the expression remains with only real components and no imaginary parts.

Therefore, the combined expression would be 24 − √2 which has no imaginary part and thus no answer choice matches the given question since all options contain an imaginary number 'i'.

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