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How do you simplify the imaginary number #sqrt(-17)#?

Answer 1

#sqrt(-1)sqrt17=isqrt17#

We can take #sqrt(-17)# and write it this way:

#sqrt(-1xx17)=sqrt(-1)sqrt(17)#

Turns out that we use #sqrt(-1)# quite frequently in mathematics and so it has earned itself its own shorthand: #i#, and so

#sqrt(-1)sqrt17=isqrt17#

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Answer 2

Elias Ackerman

To simplify the imaginary number sqrt(-17), rewrite it in terms of the imaginary unit 'i':

sqrt(-17) = sqrt(17) * i

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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