What is \sqrt[3]{((1+3x+x^2)/(5.83+2.83x))^2} ?

The solution to \sqrt[3]{((1+3x+x^2)/(5.83+2.83x))^2} is ((x^2+3x+1)/(2.83x+5.83))^{2/3}

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simplify \sqrt[3]{((1+3x+x^2)/(5.83+2.83x))^2}

simplify

(\frac{x ^{2} + 3 x + 1}{2.83 x + 5.83})^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((\frac{1 + 3 x + x ^{2}}{5.83 + 2.83 x})^{2})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (\frac{1 + 3 x + x ^{2}}{5.83 + 2.83 x})^{2 \cdot \frac{1}{3}}

2 \cdot \frac{1}{3} = \frac{2}{3}

= (\frac{1 + 3 x + x ^{2}}{5.83 + 2.83 x})^{\frac{2}{3}}

= (\frac{x ^{2} + 3 x + 1}{2.83 x + 5.83})^{\frac{2}{3}}

f a t or a (x + y)

35 (x)^{5} (y)^{4}

(2.3 \cdot 1 0^{3}) (3 \cdot 1 0^{5})

6.92 \cdot 1 0^{- 3}

e^{3 t} \cdot e^{- 2 t}

What is \sqrt[3]{((1+3x+x^2)/(5.83+2.83x))^2} ?
The solution to \sqrt[3]{((1+3x+x^2)/(5.83+2.83x))^2} is ((x^2+3x+1)/(2.83x+5.83))^{2/3}