Question

How is 12 x √3/2 = 6√3 ?

Answer 1

`12x\sqrt{\cfrac{3}{2}}~~ = ~~6√(3)\implies (6)(2)x\cdot \cfrac{√(3)}{√(2)}~~ = ~~6√(3)\implies \cfrac{(2x)(6√(3))}{√(2)}=6√(3) \\\\\\ \cfrac{2x}{√(2)}=\cfrac{6√(3)}{6√(3)}\implies \cfrac{2x}{√(2)}=1\implies 2x=√(2)\implies x=\cfrac{√(2)}{2}`