Answered

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Simplify the radical. What is the number under the radical sign when it is simplified? Do not rationalize the denominator. ∛-27/81. Please help asap^^

Sagot :

alexyclu

Answer:

[tex]-\frac{1}{\sqrt[3]{3}}[/tex]

Step-by-step explanation:

To do this we can ask ourselves "What number multiplied three times by itself is _____?" In this case we have -27 and 81. We see that -3*-3*-3=-27. We also see that 3*3*3*3=81. This means that [tex]\sqrt[3]{-27}=-3,[/tex] and [tex]\sqrt[3]{81} = 3\sqrt[3]{3}.[/tex]

The fraction we get is [tex]\frac{-3}{3\sqrt[3]{3} }[/tex], and we can simplify to get [tex]-\frac{1}{\sqrt[3]{3}}[/tex].

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