A) \[\sqrt{3}+\sqrt{5}\]
B) \[\sqrt{5}-\sqrt{3}\]
C) \[\sqrt{5\sqrt{3}}\]
D) \[\sqrt{3\sqrt{5}}\]
Correct Answer: B
Solution :
Given expression \[=\sqrt{8-2\sqrt{15}}=\sqrt{5+3-2\sqrt{5}\times \sqrt{3}}\] \[=\sqrt{{{(\sqrt{5})}^{2}}+{{(\sqrt{3})}^{2}}-2\sqrt{5}\times \sqrt{3}}\] \[=\sqrt{{{(\sqrt{5}-\sqrt{3})}^{2}}}=\sqrt{5}-\sqrt{3}\]
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