Find each product or quotient. Simplify the answers. √-6 * √-2 / √3
1. Equations & Inequalities
The Imaginary Unit
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Find each product and write the result in standard form. (3 + 5i)(3 - 5i)
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In Exercises 1–8, add or subtract as indicated and write the result in standard form. (3 + 2i) - (5 - 7i)
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Perform the indicated operations and write the result in standard form. (7-i)(2+3i)
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Divide and express the result in standard form. - 6i/(3 + 2i)
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In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. (4 - i)2 - (1 + 2i)2
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Find each product and write the result in standard form. (2 + 3i)2
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Divide and express the result in standard form. 8i/(4 - 3i)
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In Exercises 1–8, add or subtract as indicated and write the result in standard form. (7 + 2i) + (1 - 4i)
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In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. (2 + i)2 - (3 - i)2
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Find each product. Write answers in standard form. 3i(2-i)²
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In Exercises 37–52, perform the indicated operations and write the result in standard form. 5√-16 + 3√-81
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In Exercises 9–20, find each product and write the result in standard form. (- 5 + 4i)(3 + i)
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Evaluate x2 - 2x + 2 for x = 1 + i.
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In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. 5√-16 + 3√-81