3√[24x^5 y^3]

3 is the index (the small number in top of the radical sign)

Please help me I do Appreciate it

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- May 13th 2009, 12:15 PMmr_quickRadicals
3√[24x^5 y^3]

3 is the index (the small number in top of the radical sign)

Please help me I do Appreciate it - May 13th 2009, 12:21 PMPlato
$\displaystyle \sqrt[3]{{24x^5 y^3 }} = 2xy\sqrt[3]{{3x^2 }}$

- May 13th 2009, 12:24 PMmr_quick
- May 13th 2009, 12:24 PMmasters
- May 13th 2009, 12:27 PMartvandalay11
$\displaystyle \sqrt[3]{24x^5y^3}=(24x^5y^3)^\frac{1}{3}=24^\frac{1}{3}(x ^5)^\frac{1}{3}(y^3)^\frac{1}{3}$ now there's an exponent rule that says to multiply powers together when you have powers raised to powers so that becomes $\displaystyle 2\sqrt[3]{3}x^\frac{5}{3}y$ or $\displaystyle 2y(3x^5)^\frac{1}{3}$

- May 13th 2009, 12:28 PMmr_quick