Question

3root 5 +root 3 upon root 5 - root 3

Answer 1

$\frac{ 3 \sqrt{5} + \sqrt{3} } { \sqrt{5} - \sqrt{3} }$

$= 3 \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} }$

$= 3 \times \frac{ \sqrt{5} + \sqrt{3} \times \sqrt{5 } + \sqrt{3} }{ \sqrt{5} - \sqrt{3} \times \sqrt{5} + \sqrt{3} }$

$= 3 \times \frac{( \sqrt{5} + \sqrt{3} ) {}^{2} }{ 5 - 3 }$

$= 3 \times \frac{ 5 \times 2 \sqrt{5 \times 3} \times 3 }{ 2 }$

$= 3 \times \frac{ 15 \sqrt{15} }{ 2 }$

$= \frac{ 45 \sqrt{15} }{ 2 }$

Answer 2

Answer:

Step-by-step explanation: