What method would you use to square the value 3 + √-1 ? In what other cases would you use this method? Explain.

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Question:

What method would you use to square the value 3 + √-1 ? In what other cases would you use this method? Explain.

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Answer:1) the types of number are the negative integers (e.g √-1 √-3 √-5 are not defined)2) the answer is No, proof:  2x√-1 is not defined because √-1 doesn't exist3) the answer is No, proof:  √-1 - 3 is not defined because √-1 doesn't exist4) the answer is Yes, proof: (√-1 )²=  -1 this is a real number5) the answer is No, proof:  (√-1 )^3=  (√-1 )²(√-1 )= - 1(√-1 ), and - 1(√-1 ) is not defined because √-1 doesn't exist6) the result would be defined with the following cases:    √-1+n,  n>1     √-1xn,  n<0     √-1/n,   n<07) the result would not be defined with the following cases:   √-1+n,  n<0     √-1xn,  n>0     √-1/n,   n>0 8) to square 3 + √-1, I use the method of complex number  i²= -1, it implies i= √-1  so 3+√-1=3+i,  and then (3+√-1)²=(3+i)²= 9 -1+6i= 8-i= 8-√-1 9) it is used for finding complex roots of a numberStep-by-step explanation:

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