Is this Fraction Simplified Correctly?

[mathlearn]

$\sqrt{5} * \left(\frac{5}{4}\right)^{\!{\frac{1}{2}}}$

Many Thanks :)

 

[topsquark]

$\sqrt{5} * \left(\frac{5}{4}\right)^{\!{\frac{1}{2}}}$

Many Thanks :)

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

Can you finish from here?

-Dan

 

[mathlearn]

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)

 

[Greg]

$$\frac{5^{1/2}\cdot5^{1/2}}{2}$$

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

 

[mathlearn]

$$\frac{5^{1/2}\cdot5^{1/2}}{2}$$

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 :)

 

[Joppy]

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.