Radicals-> Exponential equations

AI Thread Summary
To express the cube root of the square root of 2 as an exponential equation, start with the square root of 2, which is 2^(1/2). The cube root can be represented as raising to the power of 1/3, resulting in the expression (2^(1/2))^(1/3). This simplifies to 2^(1/2 * 1/3), which equals 2^(1/6). The final step is to convert this back into radical form, yielding the sixth root of 2. The discussion highlights the process of simplification and conversion between exponential and radical forms.
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
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Similar threads

B Can Higher Degree Nested Radicals Be Simplified?
Replies
41
Views
5K
I Is it possible to express cos(40) as a radical?
Replies
4
Views
2K
I Simplifying a nested radical that includes a complex number
Replies
5
Views
2K
B Bounds for the index of a radical
Replies
7
Views
2K
MHB Radical Equation...Extraneous Roots
Replies
5
Views
2K
B Need some clarification to get dimensions for a volume
Replies
5
Views
2K
I Trouble Solving an Equation that has square roots on both sides
Replies
1
Views
2K
MHB Can Cubic Roots and Square Roots Combine to Equal One?
Replies
5
Views
2K
Is There More Than One Solution for Cube Root Equations?
Replies
4
Views
2K
B What went wrong with (-x)^2=x^2?
Replies
22
Views
2K

Hot Threads

Recent Insights

Back
Top