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3 years ago

Which of the following is evaluated to 18-√-25? 1) 5i 2) 18-5i 3) 18+5i 4) 23

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

Option 2: 18-5i is the right answer

Step-by-step explanation:

Given

$18-\sqrt{-25}$

When there is a negative number in radical, a new complex number iota denoted by i is introduced which is equal to $\sqrt{-1}$

So we will solve the given expression

$18-\sqrt{-25}\\= 18- (\sqrt{25*-1})\\= 18 - (\sqrt{25} * \sqrt{-1})\\= 18 - (5*i) = >\sqrt{-1} = i\\= 18 - 5i$

Hence,

Option 2: 18-5i is the right answer

Keywords: Iota, complex numbers

Learn more about complex numbers at:

#LearnwithBrainly

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[see below]

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