Mathematics, 13.07.2019 15:30 rayne40
How do you rationalize the numerator in this problem?
Answers: 1
![\sqrt[3]{x+h}=x\\ \sqrt[3]{x}=y](/tpl/images/0085/2575/b0fbf.png)
![\frac{x+h-h}{h(\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2})}=\\ \frac{x}{\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2}}](/tpl/images/0085/2575/3040d.png)
![\frac{1}{\sqrt[3]{x_h}-\sqrt[3]{x}} \text{ to get}\\ \frac{1}{h\sqrt[3]{x+h}-h\sqrt[3]{h}}](/tpl/images/0085/2575/53f66.png)
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