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What is the sum of √-2 and √-18

a. 4 √2
b. 4 √2i
c. 5 √2
d. 5 √2i

User Eric Farr
by
7.8k points

2 Answers

3 votes

Answer:

B. 4 √2i

Explanation:

did the test

User PulledBull
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8.3k points
5 votes
First, it is necessary to take out the i from the root. This is done by factoring out -1 as follows, using the relation √(-1) : = i

√-2 = √(-1)(2) = i√2
√-18 = √(-1)(2)(9) = 3i√2

Simplifying by adding the two terms together:
i√2 + 3i√2 = 4i√2

Therefore the answer is B.

User Chris Fellows
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9.2k points