The sum of the square root of -2 and -18 is 4i√2
From the information given,
The sum square root of -2
√-2 + √-18
√-2 = √(-1*2) = √-1 * √2 = i√2 Note that the square root of -1 = i
√-18 = √(-1*18) = √-1 * √1`8 = i√18 Note that the square root of -1 = i
But we have that
√18 = √(9*2)
Using surd form. we have
= √9 * √2= 3√2
Then,
√-18 = i√18= i(3√2) = 3i√2
Let's add the sum of square root, we have
√-2 + √-18 = i√2 + 3i√2 = (i + 3i)√2 = 4i√2
Therefore, the sum of the square root of -2 and -18 is 4i√2
The complete question is;
What is the sum of square root of -2 and square root of -18?
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