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What is the sum of square root of -2 and square root of -18?

User S L
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2 Answers

2 votes
√-2 + √-18

√-2 = √(-1*2) = √-1 * √2 = i√2 Recall square root of -1 = i

√-18 = √(-1*18) = √-1 * √1`8 = i√18 Recall square root of -1 = i

But √18 = √(9*2) = √9 * √2= 3√2

√-18 = i√18= i(3√2) = 3i√2


√-2 + √-18 = i√2 + 3i√2 = (i + 3i)√2 = 4i√2


So the sum is 4i√2, where i = √-1

Hope this explains it.
User FlorisdG
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7.9k points
4 votes

Answer:

4 Square root 2i

Explanation:

if you're ed then this the answer I hope this helps

User Jakubiszon
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