Radicals-> Exponential equations

  • Context: High School 
  • Thread starter Thread starter rock4christ
  • Start date Start date
  • Tags Tags
    Exponential Radicals
Click For Summary

Discussion Overview

The discussion revolves around expressing the cube root of the square root of 2 as an exponential equation. Participants explore the conversion between radical and exponential forms, focusing on the mathematical simplification involved.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant asks how to express the cube root of the square root of 2 as an exponential equation.
  • Another participant provides the expression for the cube root of the square root of 2 as (2^{\frac{1}{2}})^{\frac{1}{3}} and prompts for simplification.
  • A different participant notes the need to simplify the expression further to convert it back to a radical form.
  • One participant questions whether the previous response adequately addressed the original question about simplification.
  • A participant admits uncertainty about how to simplify the expression.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the simplification process, with some uncertainty about how to proceed with the mathematical steps involved.

Contextual Notes

There are unresolved steps in the simplification process, and participants have not reached a consensus on how to express the final result.

rock4christ
Messages
34
Reaction score
0
how would I take the cube root of the square root of 2 as an exponential equation? the square root of 2 is 21/2 but I don't know what to do with the cube root.
 
Last edited:
Mathematics news on Phys.org
The cubed root of x is x1/3. So, your expression for the cubed root of the square root of 2 is (2^{\frac{1}{2}})^{\frac{1}{3}}. Can you simplify this?
 
well Id have to simplify it, because I am supposed to turn the new simplified exponent to a radical
 
Last edited:
Was that an answer to Cristo's question?? He asked do you know HOW to simplify it.
 
oh, no i don't know how
 

Similar threads

High School Can Higher Degree Nested Radicals Be Simplified?
  • · Replies 41 ·
2
Replies
41
Views
6K
Undergrad Is it possible to express cos(40) as a radical?
  • · Replies 4 ·
Replies
4
Views
3K
High School What went wrong with (-x)^2=x^2?
  • · Replies 22 ·
Replies
22
Views
2K
MHB Radical Equation...Extraneous Roots
  • · Replies 5 ·
Replies
5
Views
3K
High School Need some clarification to get dimensions for a volume
  • · Replies 5 ·
Replies
5
Views
2K
High School Question about this Lesson on Square Roots
  • · Replies 4 ·
Replies
4
Views
2K
High School How to cut a plate onto a tube at an angle?
  • · Replies 1 ·
Replies
1
Views
2K
High School Complete the square, yes, but what does it mean?
  • · Replies 19 ·
Replies
19
Views
3K
MHB Can Cubic Roots and Square Roots Combine to Equal One?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Trouble Solving an Equation that has square roots on both sides
  • · Replies 1 ·
Replies
1
Views
2K