Hasilnya berapa .....

Hasilnya berapa …..

$frac{ sqrt{ {5}^{2019} } }{ sqrt{ {5}^{2019} - sqrt{ {5}^{2015} } } }$

$frac{ sqrt{ {5}^{2019} } }{ sqrt{ {5}^{2019} - sqrt{ {5}^{2015} } } } = frac{ sqrt{5} : • : {5}^{1009} }{ sqrt{5}(5^{1009} - {5}^{1007}) }$

$= frac{ {5}^{1009} }{ {5}^{1009} - {5}^{1007} }$

$= frac{ {5}^{2} }{ {5}^{2} - {5}^{0} }$

$= frac{25}{24}$

Rasionalisasi…

$displaystylesf frac{sqrt{5^{2019}}}{sqrt{5^{2019}}-sqrt{5^{2015}}}=\\\frac{sqrt{5^{2019}}}{sqrt{5^{2019}}-sqrt{5^{2015}}}times frac{sqrt{5^{2019}}+sqrt{5^{2015}}}{sqrt{5^{2019}}+sqrt{5^{2015}}}=\\\frac{(sqrt{5^{2019}})^2+sqrt{5^{2019}}(sqrt{5^{2015}})}{(sqrt{5^{2019}})^2-(sqrt{5^{2015}})^2}=\\\frac{5^{2019}+sqrt{5^{2019}cdot5^{2015}}}{5^{2019}-5^{2015}}=\\\frac{5^{2019}+sqrt{5^{2019+2015}}}{5^{2019}-5^{2015}}=$

$displaystylesffrac{5^{2019}+sqrt{5^{4034}}}{5^{2019}-5^{2015}}=\\\frac{5^{2019}+5^{4034div2}}{5^{2019}-5^{2015}}=\\\ frac{5^{2019}+5^{2017}}{5^{2019}-5^{2015}}=\\\frac{not5^{not2015}(5^{4}+5^{2})}{not5^{not2015}(5^{4}-1)}=$

$displaystylefrac{625+25}{625-1}=\\\frac{650_{div26}}{624_{div26}}=\\\bffrac{25}{24}$