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Angelina_Jolie [31]
4 years ago
6

Another question I need help with. I've got the part where it says to rewrite as a radical expression on my paper, but I'm havin

g trouble simplifying.

Mathematics
1 answer:
Alik [6]4 years ago
4 0
\bf a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
32^{\frac{3}{5}}\implies \sqrt[5]{32^3}\qquad 
\begin{cases}
32=2\cdot 2\cdot 2\cdot 2\cdot 2\\
\qquad 2^5
\end{cases}\implies \sqrt[5]{(2^5)^3}\implies \sqrt[5]{(2^3)^5}
\\\\\\
2^3\implies 8
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Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

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This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

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8 0
3 years ago
I need help answering
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6t - 20 - 32u

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