What is (6+sqrt(19))^3 ?

The solution to (6+sqrt(19))^3 is 558+127sqrt(19)

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simplify (6+sqrt(19))^3

simplify

(6 + 19)^{3}

558 + 12719

Decimal Notation

1111.58016 \dots

Solution steps

(6 + 19)^{3}

Apply Perfect Cube Formula:

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

a = 6, b = 19

= 6^{3} + 3 \cdot 6^{2} 19 + 3 \cdot 6 (19)^{2} + (19)^{3}

Simplify

6^{3} + 3 \cdot 6^{2} 19 + 3 \cdot 6 (19)^{2} + (19)^{3} : 558 + 12719

= 558 + 12719

7 x^{2} - 22 x + 3

(w - 1)^{3}

\frac{- 5 x}{x}

\frac{- 12}{8}

3^{- \frac{4}{3}} \cdot 9^{- \frac{4}{3}}