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Relations and Functions
Question
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i9 + i19

Answer

i9 + i19     = i8.i +i18.i = (i2)4.i. (i2)9.i
              = (-1)4 .i + (-1)9 .i                    (use i2 = -1)
              = i - i = 0

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Fill in the blanks in the following table:

Numbers

Closed under
 

Addition

Subtraction

Multiplication

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Rational numbers

Yes

Yes

  

No

Integers

  

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Whole numbers

...

  

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i9 + i19

3(7 + i7) + i(7 + i7)