Q. Use the imaginary number i to rewrite the expression below as a complex number. Simplify all radicals. −−75
Use Imaginary Unit: Now, we know that −1 is the imaginary unit i. So we can write −−75 as −i×75.
Simplify 75: Next, we simplify 75. The number 75 can be factored into 3×25, and 25 is 5. So 75 is 3×25 which is 5×3.
Combine Terms: Now we can combine the −i and 5×3 to get the final answer. So −i×75 becomes −i×5×3.
Correct Multiplication: Finally, we multiply −i by 5×3 to get −5i×3. But wait, there's a mistake here. The correct multiplication should be −i×5×3, which simplifies to −5i×3. So the mistake doesn't affect the final result.
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