Question

simplify root 5 + root 3 divided by root 5 minus root 3 is equal to a + b root 15​

Answer 1

$\huge\red{ﾑ刀丂Щ乇尺}$

$\huge \sf{ \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } = a + b \sqrt{15} }$

$\sf{rationalize \: by \: multiplying \: and \: dividing \: by \: ( \sqrt{5} + \sqrt{3}) }$

$\mathfrak{so \: we \: get \: \frac{8 + 2 \sqrt{15} }{2} = 4 + \sqrt{15} }$

$\sf\purple{so \: a = 4 ,\: b = 1}$