simplify the number using the imaginary unit i √-28
1.D
2.B
3.B
4.C
5.A
6.C
Algebra U6 L8 Complex Numbers
1. D, 2i√7
2. B
3. B, 11 - 2i
4. C, 20 - 4i
5. A, 31 + 1/26
6. C, 1 ± i√9
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To simplify the expression involving the imaginary unit i and the square root of -28, we can break it down step by step.
First, let's write the expression as i√(-1)√(28). Since the square root of -1 is represented by the imaginary unit i, we can rewrite the expression as i√(28).
To further simplify, we need to find the square root of 28. The square root of 28 can be expressed as √(4 x 7). Taking the square root of 4, we get 2. Therefore, √(28) becomes 2√(7).
Finally, substituting this back into the expression, we have i × 2√(7), which simplifies to 2i√(7).
So, the simplified form of i√(-28) is 2i√(7).
Find the square root of positive 28, then put the i next to it. For example the square root of -25 would be 5i because 5 is the square root of positive 25. Hope this helped!
√-28
= √4*√7*√-1
= 2√7 i