Simplify the expression to a, plus, b, ia+bi form:minus, square root of, 16, end square root, plus, square root of, minus, 72, end square root, plus, square root of, 121, end square root, plus, square root of, minus, 2, end square root− 16 + −72 + 121 + −2
Question
Simplify the expression to a, plus, b, ia+bi form:minus, square root of, 16, end square root, plus, square root of, minus, 72, end square root, plus, square root of, 121, end square root, plus, square root of, minus, 2, end square root− 16 + −72 + 121 + −2
Solution
The expression you provided seems to be a bit confusing. However, I'll try to simplify it based on my understanding.
The expression seems to be: -√16 + √-72 + √121 + √-2
Let's simplify it step by step:
- √16 = 4, so -√16 = -4
- √-72 = √(72*-1) = √72 * √-1 = 8.48528137423857 * i (since √-1 = i in complex numbers)
- √121 = 11
- √-2 = √(2*-1) = √2 * √-1 = 1.4142135623731 * i
So, the simplified expression is: -4 + 8.48528137423857i + 11 + 1.4142135623731i
Combining the real and imaginary parts, we get: 7 + 9.89949493661167i
So, the expression simplifies to: 7 + 9.89949493661167i
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