Solve 2/5(sqrt(3)^5)=18sqrt(3)/5 | Math Problem Help

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Homework Help Overview

The discussion revolves around the equation 2/5(sqrt(3)^5) = 18sqrt(3)/5, focusing on the manipulation and simplification of expressions involving square roots and exponents.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the possibility of expressing sqrt(3)^5 in terms of a rational exponent, questioning the relationship between the square root and its exponent form. There is also a suggestion to simplify both sides of the equation to verify the identity.

Discussion Status

The discussion is ongoing, with participants raising questions about the exponent of sqrt(3) and exploring different approaches to the equation. Some guidance has been offered regarding simplifying the equation, but no consensus has been reached.

Contextual Notes

One participant notes that the question is not related to homework or school, which may influence the nature of the discussion.

alpha01
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can someone please show how 2/5(sqrt(3)^5) = 18sqrt(3) / 5

thanks
 
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Can you write [tex]\sqrt{3}^5[/tex] as [itex]3^n[/itex] for some rational, n?

I'm moving this to precalc HW forum.
 
no, i can't find n.

also, this isn't a homework or school related question. I can't see why a warning was necessary.
 
[tex]\sqrt{3}[/tex] is three raised to what power?
 
alpha01 said:
can someone please show how 2/5(sqrt(3)^5) = 18sqrt(3) / 5

thanks

You can also go the other way around, and divide out as much common terms from both sides as possible. Then see if you can prove the remaining identity.
 

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