Question

simplify √7 + √3 / √7 - √3 + √4 + √5 / √4 -√5



plz give real ans.​

Answer 1

Given,

• $\frac{ \sqrt{7} + \sqrt{3} }{ \sqrt{7} - \sqrt{3} } + \frac{ \sqrt{4} + \sqrt{5} }{ \sqrt{4} - \sqrt{5} }$

To Find,

• Rationalize and Solve the Following

Solution,

$\frac{ \sqrt{7} + \sqrt{3} }{ \sqrt{7} - \sqrt{3} } + \frac{ \sqrt{4} + \sqrt{5} }{ \sqrt{4} - \sqrt{5} } \\ \\ \frac{ \sqrt{7} + \sqrt{3} }{ \sqrt{7} - \sqrt{3} } + \frac{ \sqrt{4} + \sqrt{5} }{ \sqrt{4} - \sqrt{5} } \\ \\ \frac{ \sqrt{7} + \sqrt{3} }{ \sqrt{7} - \sqrt{3} } \times \frac{ \sqrt{7} + \sqrt{3} }{ \sqrt{7} + \sqrt{3} } + \frac{ \sqrt{4} + \sqrt{5} }{ \sqrt{4} - \sqrt{5} } \times \frac{\sqrt{4} + \sqrt{5} }{ \sqrt{4} + \sqrt{5} } \\ \\ \frac{ {( \sqrt{7}) }^{2} + 2 \sqrt{7} \times \sqrt{3} + {( \sqrt{3} )}^{2} }{ {( \sqrt{7}) }^{2} - {( \sqrt{3} )}^{2} } + \frac{ {( \sqrt{4}) }^{2} + 2 \sqrt{4} \times \sqrt{5} + {( \sqrt{3} )}^{2} }{ {( \sqrt{4}) }^{2} - {( \sqrt{5} )}^{2} } \\ \\ \frac{7 + 3 + 2 \sqrt{21} }{7 - 3} + \frac{4 + 3 + 4 \sqrt{5} }{4 - 5} \\ \\ \frac{10 + 2 \sqrt{21} }{4} + \frac{7 + 4 \sqrt{5} }{ - 1} \\ \\ \frac{10 + 2 \sqrt{21} }{4} - \frac{7 + 4 \sqrt{5} }{ 1} \\ \\ \frac{10+2 \sqrt{21} - 28 - 16 \sqrt{5} }{4} \\ \\ \frac{ - 18 + 2 \sqrt{21} - 16 \sqrt{5} } {4}$