Question

(√5+√3)^3 simplify following​

Answer 1

☘️Solution:-

$→\; {( \sqrt{5} + \sqrt{3}) }^{3} \\ →\; {( \sqrt{5}) }^{3} + 3({ \sqrt{5} }^{2} \sqrt{3} ) + 3( \sqrt{5} { \sqrt{3} }^{2}) + { (\sqrt{3}) }^{3} \\→\; {( \sqrt{5} )}^{3} + 3(5 \sqrt{3} ) + 3(3 \sqrt{5}) + ({ \sqrt{3}) }^{3} \\→\; ( \sqrt{125} ) + 15 \sqrt{3} + 9 \sqrt{5} + ( \sqrt{27} ) \\→\; 5 \sqrt{5} + 15 \sqrt{3} + 9 \sqrt{5} + 3 \sqrt{3} \\→\; (9 + 5) \sqrt{5} + (15 + 3) \sqrt{3} \\➝\; 14 \sqrt{5} + 18 \sqrt{3}$

• Required Value ☞ $\red{\bold{14\sqrt{5}+18\sqrt{3}}}$

☆ (a+b)³ = a³+b³+3a²b+3ab²

$\Large{✓}$

Hope It Helps You ✌️