Simplify (21-i square root of 18)/3

Math
21-i183
Simplify the numerator.
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Rewrite 18 as 32⋅2.
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Factor 9 out of 18.
21-i9(2)3
Rewrite 9 as 32.
21-i32⋅23
21-i32⋅23
Pull terms out from under the radical.
21-i(32)3
Multiply 3 by -1.
21-3i23
21-3i23
Cancel the common factor of 21-3i2 and 3.
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Factor 3 out of 21.
3⋅7-3i23
Factor 3 out of -3i2.
3⋅7+3(-i2)3
Factor 3 out of 3(7)+3(-i2).
3(7-i2)3
Cancel the common factors.
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Factor 3 out of 3.
3(7-i2)3(1)
Cancel the common factor.
3(7-i2)3⋅1
Rewrite the expression.
7-i21
Divide 7-i2 by 1.
7-i2
7-i2
7-i2
Simplify (21-i square root of 18)/3

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