A) 2
B) 2 : 3
C) 3
D) 3 : 1
Correct Answer: A
Solution :
Mean proportional between\[\left( 2+\sqrt{3} \right)\] and \[\left( 8-\sqrt{48} \right)\] \[=\sqrt{\left( 2+\sqrt{3} \right)\left( 8-\sqrt{48} \right)}=\sqrt{\left( 2+\sqrt{3} \right)4\left( 2-\sqrt{3} \right)}\] \[=2\sqrt{\left( 2+\sqrt{3} \right)\left( 2-\sqrt{3} \right)}=2\sqrt{4-3}\]\[=\sqrt{2}\]
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