MHB Is this Fraction Simplified Correctly?

  • Thread starter Thread starter mathlearn
  • Start date Start date
  • Tags Tags
    Fraction
mathlearn
Messages
331
Reaction score
0
$\sqrt{5} * \left(\frac{5}{4}\right)^{\!{\frac{1}{2}}}$

Many Thanks :)
 
Mathematics news on Phys.org
mathlearn said:
$\sqrt{5} * \left(\frac{5}{4}\right)^{\!{\frac{1}{2}}}$

Many Thanks :)
Hint: [math]x^{1/2} = \sqrt{x}[/math]

Can you finish from here?

-Dan
 
topsquark said:
Hint: [math]x^{1/2} = \sqrt{x}[/math]

Can you finish from here?

-Dan

$5^\frac{1}{2} * \frac{5^\frac{1}{2}}{2^2\frac{1}{2}}$

$5^\frac{1}{2} * \frac{5^\frac{1}{2}}{2}$

From there ... (Thinking)
 
$$\frac{5^{1/2}\cdot5^{1/2}}{2}$$

Does that help? (See topsquark's post).
 
greg1313 said:
$$\frac{5^{1/2}\cdot5^{1/2}}{2}$$

Does that help? (See topsquark's post).

According to topsquark $\displaystyle x^{1/2} = \sqrt{x}$

$$\frac{\sqrt{5}\cdot\sqrt{5}}{2}=\frac{\sqrt{5}^2}{2}=\frac{5}{2}$$

Correct?

Many THanks :)
 
mathlearn said:
According to topsquark $\displaystyle x^{1/2} = \sqrt{x}$

$$\frac{\sqrt{5}\cdot\sqrt{5}}{2}=\frac{\sqrt{5}^2}{2}=\frac{5}{2}$$

Correct?

Many THanks :)

Correctomundo! Well done.
 

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 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

B Understanding the relationship between ratios and fractions
Replies
8
Views
2K
B Can Higher Degree Nested Radicals Be Simplified?
Replies
41
Views
5K
MHB Can this fraction be simplified further
Replies
7
Views
2K
B Partial Fraction Decomposition - "Telescoping sum"
Replies
11
Views
2K
MHB Therefore 2√5 + 2√5 = 4√5How can I simplify this square root fraction?
Replies
1
Views
2K
A Simplifying a double summation
Replies
3
Views
2K
I Proving that fractions are the same as division
Replies
2
Views
2K
MHB Fraction multiplication problem
Replies
1
Views
2K
B Computing a tricky complex math problem - where did I go wrong?
Replies
7
Views
1K
B Fractional/decimal powers
Replies
10
Views
2K

Hot Threads

Recent Insights

Back
Top