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Popular >

simplify (sqrt(3)+i)^3

Solution

simplify

(3 + i)^{3}

Solution

8 i

Solution steps

(3 + i)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(3 + i)^{3} = (3)^{3} + 3 (3)^{2} i + 33 i^{2} + i^{3}

= (3)^{3} + 3 (3)^{2} i + 33 i^{2} + i^{3}

Simplify

(3)^{3} + 3 (3)^{2} i + 33 i^{2} + i^{3} : 8 i

= 8 i

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Frequently Asked Questions (FAQ)

What is (sqrt(3)+i)^3 ?
The solution to (sqrt(3)+i)^3 is 8i