(4i)(7i).jpeg "(-3)(4i)(7i)")
Multiplying Complex Numbers: (-3)(4i)(7i)
This article will guide you through the process of multiplying the complex numbers (-3)(4i)(7i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1 (i² = -1).
Multiplication Process
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Rearrange the terms: (-3)(4i)(7i) = (-3)(4)(7)(i)(i)
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Multiply the real numbers: (-3)(4)(7) = -84
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Multiply the imaginary units: (i)(i) = i² = -1
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Combine the results: -84(-1) = 84
Conclusion
Therefore, the product of (-3)(4i)(7i) is 84. This demonstrates that multiplying complex numbers can result in a real number.