Example

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

Question

$$3\sqrt{2}-4\sqrt{2}+5\sqrt{2}-3\sqrt{2}; 3\sqrt{15}-4\sqrt{3}-3\sqrt{15}+6\sqrt{3}; 2\sqrt[3]{2}-8\sqrt[3]{3}+\sqrt[3]{2}+3\sqrt[3]{3}$$

Answer

$$3*sqrt(2)-4*sqrt(2)+5*sqrt(2)-3*sqrt(2);3*sqrt(15)-4*sqrt(3)-3*sqrt(15)+6*sqrt(3);2*sqrt(3)-8*3^(1/3)+sqrt(3)+3^(4/3)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\begin{aligned}&3\sqrt{2}-4\sqrt{2}+5\sqrt{2}-3\sqrt{2}\\&3\sqrt{15}-4\sqrt{3}-3\sqrt{15}+6\sqrt{3}\\&2\sqrt{3}-8\sqrt[3]{3}+\sqrt{3}+{3}^{\frac{4}{3}}\end{aligned}\]
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