Solve: If 3√(3√x -1/3√x) =2 ,Then find 3√x + 1/3√x
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{3√(3√x-1÷3√x)}^=(2)^
9(3√x-1÷3√x)=4
27√x-3√x=4
24√x=4
√x=4÷24
√x=1÷6
then,
3√x+1÷3√x =3×1÷6+1÷3×1÷6=1÷2+1÷18
by taking L.C.M 18 we get,
9+1÷18=10÷18=5÷6
9(3√x-1÷3√x)=4
27√x-3√x=4
24√x=4
√x=4÷24
√x=1÷6
then,
3√x+1÷3√x =3×1÷6+1÷3×1÷6=1÷2+1÷18
by taking L.C.M 18 we get,
9+1÷18=10÷18=5÷6
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