Question

find the value of
a). (3√5 - 4√3)²​

Answer 1

Solution:-

=> (3√5 - 4√3)²

=> (3√5)² + (4√3)² - 2(3√5)(4√3)

=> 45 + 48 - 46√15

$\boxed{ => 93 - 46√15 }$

Answer 2

$\huge{\underline{\underline{\bf{\purple{answer}}}}}$

using identity :-

$\small{\underline{\underline{\bf{\red{ {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab }}}}}$

$\tiny{\underline{\underline{\bf{\blue{ {( \sqrt[3]{5} - \sqrt[4]{3} ) }^{2} = { (\sqrt[3]{5}) }^{2} + {( \sqrt[4]{3}) }^{2} - 2( \sqrt[3]{5} )( \sqrt[4]{3} ) }}}}}$

$\tiny{\underline{\underline{\bf{\blue{ = > \: \: 15 + 12 - \sqrt[24]{15} }}}}}$

$\tiny{\underline{\underline{\bf{\blue{ = > \: \: 27 - \sqrt[24]{15} }}}}}$