![\dfrac{\sqrt[3]{x+h}-\sqrt[3]x}h\times\dfrac{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}=\dfrac{(\sqrt[3]{x+h})^3-(\sqrt[3]x)^3}\cdots](/tpl/images/0206/0348/71b3f.png)
s then cancel, leaving you with the ![\cdots=\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}](/tpl/images/0206/0348/52a9c.png)
term.![a=\sqrt[3]{x+h}](/tpl/images/0206/0348/adaf2.png)
and ![b=\sqrt[3]x](/tpl/images/0206/0348/2c9be.png)
. Then
Rationalize the numerator or denominator, and simplify:
(∛(x+h)-∛x)/h
file of problem i...
Mathematics, 28.08.2019 16:30, Hammon1774
Rationalize the numerator or denominator, and simplify:
(∛(x+h)-∛x)/h
file of problem is attached
Answers: 1
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