Simplify (6+ square root of -6^2-4*1*6)/2

Math
6+-62-4⋅1⋅62
Simplify the numerator.
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Raise 6 to the power of 2.
6+-1⋅36-4⋅1⋅62
Multiply -1 by 36.
6+-36-4⋅1⋅62
Multiply -4 by 1.
6+-36-4⋅62
Multiply -4 by 6.
6+-36-242
Subtract 24 from -36.
6+-602
Rewrite -60 as -1(60).
6+-1(60)2
Rewrite -1(60) as -1⋅60.
6+-1⋅602
Rewrite -1 as i.
6+i⋅602
Rewrite 60 as 22⋅15.
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Factor 4 out of 60.
6+i⋅4(15)2
Rewrite 4 as 22.
6+i⋅22⋅152
6+i⋅22⋅152
Pull terms out from under the radical.
6+i⋅(215)2
Move 2 to the left of i.
6+2i152
6+2i152
Cancel the common factor of 6+2i15 and 2.
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Factor 2 out of 6.
2⋅3+2i152
Factor 2 out of 2i15.
2⋅3+2(i15)2
Factor 2 out of 2(3)+2(i15).
2(3+i15)2
Cancel the common factors.
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Factor 2 out of 2.
2(3+i15)2(1)
Cancel the common factor.
2(3+i15)2⋅1
Rewrite the expression.
3+i151
Divide 3+i15 by 1.
3+i15
3+i15
3+i15
Simplify (6+ square root of -6^2-4*1*6)/2

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