Question

help me please in fast ​

Answer 1

(ii)

$(\sqrt{5} + \sqrt{3})( \sqrt{5} - \sqrt{3})$

$\sqrt{5} . \sqrt{5} - \sqrt{5}. \sqrt{3} + \sqrt{3} . \sqrt{5} \: - \sqrt{3} . \sqrt{3}$

$\sqrt{ {5}^{2} } - \sqrt{(5.3)} + \sqrt{(3.5)} \: - \sqrt{ {3}^{2} }$

$5 \: - \sqrt{15} + \sqrt{15} + 3 = 5 + 3 = 8$

(iv)

$(\sqrt{5} - \sqrt{2})( \sqrt{2} - \sqrt{3})$

$\sqrt{5} . \sqrt{2} - \sqrt{5}. \sqrt{3} - \sqrt{2} . \sqrt{2} \: + \sqrt{2} . \sqrt{3}$

$\sqrt{(5.2)} - \sqrt{(5.3)} - \sqrt{ {2}^{2} } + \sqrt{(2.3)}$

$\sqrt{10} - \sqrt{15} - 2 + \sqrt{6}$

$\sqrt{10} - \sqrt{15} + \sqrt{6} -2$

(vi)

${( \sqrt{ 3} - \sqrt{3} )}^{2} = {0}^{2} = 0$