What is (2x\sqrt[3]{(6x^2-1)^2})(6x^2-1)^{1/3} ?

The solution to (2x\sqrt[3]{(6x^2-1)^2})(6x^2-1)^{1/3} is 2x(6x^2-1)

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simplify (2x\sqrt[3]{(6x^2-1)^2})(6x^2-1)^{1/3}

simplify

2 x (6 x^{2} - 1)

Solution steps

Apply radical rule:

assuming

a \geq 0

= 2 x (6 x^{2} - 1)^{\frac{2}{3}} (6 x^{2} - 1)^{\frac{1}{3}}

Simplify

(6 x^{2} - 1)^{\frac{2}{3}} (6 x^{2} - 1)^{\frac{1}{3}} : 6 x^{2} - 1

= 2 x (6 x^{2} - 1)

3 x^{2} y^{2} z (7 x^{2} + 2 y + z + 4 w)

(6 - 7) (6 - 7)

7708.3333 (1 + 0.9 \cdot \frac{100}{360})^{- 1}

\frac{5}{x} \cdot 5 x

2 x^{2} (3 x^{4} y^{3})

What is (2x\sqrt[3]{(6x^2-1)^2})(6x^2-1)^{1/3} ?
The solution to (2x\sqrt[3]{(6x^2-1)^2})(6x^2-1)^{1/3} is 2x(6x^2-1)