a) \(\dfrac{\sqrt{15}+\sqrt{21}}{\sqrt{5}+\sqrt{7}}=\dfrac{\sqrt{3}.\sqrt{5}+\sqrt{3}.\sqrt{7}}{\sqrt{5}.\sqrt{7}}=\dfrac{\sqrt{3}\left(\sqrt{5}.\sqrt{7}\right)}{\sqrt{5}.\sqrt{7}}=\sqrt{3}\)
a) \(\dfrac{\sqrt{15}+\sqrt{21}}{\sqrt{5}+\sqrt{7}}=\dfrac{\sqrt{3}\left(\sqrt{5}+\sqrt{7}\right)}{\sqrt{5}+\sqrt{7}}=\sqrt{3}\)