Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$2\sqrt[3]{2}-8\sqrt[3]{3}+\sqrt[3]{2}+3\sqrt[3]{3}$$

Answer

$$3*sqrt(3)-8*3^(1/3)+3^(4/3)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2\sqrt{3}-8\sqrt[3]{3}+\sqrt{3}+{3}^{\frac{4}{3}}\]
Collect like terms.
\[(2\sqrt{3}+\sqrt{3})-8\sqrt[3]{3}+{3}^{\frac{4}{3}}\]
Simplify.
\[3\sqrt{3}-8\sqrt[3]{3}+{3}^{\frac{4}{3}}\]

Decimal Form: -2.015095

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