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9 July, 21:18

Which of the following is equivalent to 18 - √-25

a. 5i

b. 18-5i

c. 18+5i

d. 23

+5
Answers (1)
  1. 10 July, 00:03
    0
    This number is in complex form. To simplify a number in complex form, you simplify the two parts (real and imaginary) separately. For the given number 18 - √-25, this is how we do it:

    The real part "18" is already simplified, so we only have to deal with the imaginary part " √-25".

    18 - √-25

    To solve for the square root of - 25, we factor it out first before simplifying:

    18 - √ (25) (-1)

    18 - 5 √ (-1)

    For imaginary numbers, √-1 = i. Using that relation, we can simplify it to:

    18 - 5i, which matches with the answer in letter B.
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