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24-06-2020
Mathematics

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write 2^((5)/(2)) in surd form

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24-06-2020

Answer:

[tex]\sqrt{2^5}[/tex]

Step-by-step explanation:

The applicable rule of exponents is ...

[tex]\displaystyle a^{b/c}=\sqrt[c]{a^b}[/tex]

So, ...

[tex]2^{5/2}=\boxed{\sqrt{2^5}}[/tex]

_____

This can be simplified to ...

[tex]\sqrt{32}=4\sqrt{2}[/tex]

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