Multiplying Monomials with Radical Indices in Algebra II/Trig Honors

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Homework Help Overview

The discussion revolves around multiplying monomials that involve radicals with indices, specifically in the context of Algebra II/Trig Honors. Participants are exploring how to handle expressions where the radicals have specified indices, such as cube roots.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants share examples of problems involving radicals with indices and seek clarification on the multiplication process. Questions arise about the meaning of indices and how they affect the multiplication of terms under radicals.

Discussion Status

The conversation is ongoing, with participants providing examples and attempting to clarify their understanding of indices in radicals. Some guidance has been offered regarding the multiplication of terms and the significance of the index, but no consensus has been reached on all points discussed.

Contextual Notes

Some participants express confusion about the notation and the steps involved in simplifying expressions with radicals. There is mention of specific homework constraints that may limit the depth of simplification required.

  • #31
Thanks, I think that explanation has to do with another part of the lesson in my notes called "Finding the smallest value and smallest integral value"?
What monomial would give me x*x*x*x then? I know it would have to have an index of four. But what exponent would it have to have?
 
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  • #32
x*x*x*x = x^4

\sqrt[4]{x^4} = x

\sqrt[4]{x^4} = (x^4)^{1/4} = x^{4\cdot 1/4} = x^1 = x
 

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