What is sqrt(3x^2)\sqrt[3]{6x^3}\sqrt[4]{4x^2} ?

The solution to sqrt(3x^2)\sqrt[3]{6x^3}\sqrt[4]{4x^2} is \sqrt[6]{6^5}x^2\sqrt[4]{x^2}

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simplify sqrt(3x^2)\sqrt[3]{6x^3}\sqrt[4]{4x^2}

simplify

Solution steps

Simplify

3 x^{2} : 3 x

Simplify

32 = 6

Apply radical rule:

a = a^{\frac{1}{2}}

6 = 6^{\frac{1}{2}}

Apply radical rule:

6^{\frac{1}{2}} \cdot 6^{\frac{1}{3}} = 6^{\frac{5}{6}}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

2.4 \cdot 1 0^{- 7}

500 e^{- 0.0244 (40)}

\frac{- 6}{- 2}

2.4 \cdot 1 0^{- 4}

x^{6} e^{- x}

What is sqrt(3x^2)\sqrt[3]{6x^3}\sqrt[4]{4x^2} ?
The solution to sqrt(3x^2)\sqrt[3]{6x^3}\sqrt[4]{4x^2} is \sqrt[6]{6^5}x^2\sqrt[4]{x^2}