Question

Simplyfie
=
7+3√5/7-3√5​

Answer 1

Answer:

$\frac{47+21\sqrt{5} }{2}$

Step-by-step explanation:

   $\frac{7+3\sqrt{5} }{7-3\sqrt{5}}$

Rationalize the numerator,we get

$=>\frac{7+3\sqrt{5}}{7-3\sqrt{5}} *\frac{7+3\sqrt{5}}{7+3\sqrt{5}} \\\\=>Since, (7+3\sqrt{5} )^{2}=49+45+42\sqrt{45} \\\\=>\frac{(7+3\sqrt{5} )^{2}}{7^2-(3\sqrt{5} )^2} \\\\=>\frac{(49+45+42\sqrt{5} )}{49-45}\\\\ =>\frac{94+42\sqrt{5} }{4} \\\\=>\frac{47+21\sqrt{5} }{2}$

>>>Hope helps you<<<