Simplify (-i #sqrt 3# )#^2# . how do you simplify this?

#^2#

1 Answer
Nick
Apr 2, 2018

-3

Explanation:

We can write the original function in its expanded form as shown

#(-isqrt(3))(-isqrt(3))#

We treat #i# like a variable, and since a negative times a negative equals a positive, and a square root times a square root of the same number is simply that number, we get the below equation

#i^2 * 3#

Remember that #i = sqrt(-1)# and operating with the square root rule shown above, we can simplify as shown below

#-1 * 3#

Now it's a matter of arithmetic

#-3#

And there's your answer :)

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