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Sagot :
We have the next numbers and we need to classify them in purely real numbers and non-real complex numbers.
for
7-5i - it is a non-real complex number because we have an imaginary number
for
[tex]-i^2+i^3[/tex]we need to reduce the expression above
[tex]-i^2+i^3=1-i[/tex]as we can see the expression is a non-real complex number because we have an imaginary number.
For
[tex]\sqrt[]{(-5)^2}[/tex]we need to simplify the expression
[tex]\sqrt[]{(-5)^2}=5[/tex]as we can see we have purely real number
For
[tex]i^6=i^2\cdot i^2\cdot i^2=-1\cdot-1\cdot-1=-1[/tex]as we can see we have a purely real number
For
[tex]0+9i[/tex]we have a non-real complex number
For
[tex]\sqrt[]{-6}=i\sqrt[]{6}[/tex]if we have inside a square root a negative number the result will be a non-real complex number.
For
[tex]2-7i^2=2-7(-1)=2+7=9[/tex]as we can see we have a purely real number
for
-12 we have a purely real number
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