Question

$\frac{10}{\sqrt{5} } + \frac{5}{\sqrt{10} } -\sqrt{20}$

Answer 1

Răspuns:

Explicație pas cu pas:

10√5/5+5√10/10-2√5=2√10-√10/2-2√10=√10/2

Answer 2

$\it \sqrt{20}=\sqrt{\dfrac{100}{5}}=\dfrac{10}{\sqrt5}$

Expresia  din enunț devine:

$\it\dfrac{10}{\sqrt5}+\dfrac{5}{\sqrt{10}}-\dfrac{10}{\sqrt5}=\dfrac{^{\sqrt{10})}5}{\ \ \sqrt{10}}=\dfrac{5\sqrt{10}^{(5}}{10}=\dfrac{\sqrt{10}}{2}$