Question

Sqrt(6)/Sqrt(2)-24/Sqrt(2)+(2*Sqrt(48))-(3*Sqrt(8))

Answer 1

Sqrt(6)/Sqrt(2) can be simplified to Sqrt(62)/Sqrt(22) = Sqrt(12)/2

24/Sqrt(2) can be simplified to 24Sqrt(2)/2 = 12Sqrt(2)

2Sqrt(48) can be simplified to 2Sqrt(163) = 24Sqrt(3) = 8Sqrt(3)

3Sqrt(8) can be simplified to 3Sqrt(42) = 32Sqrt(2) = 6Sqrt(2)

So the expression becomes:

Sqrt(12)/2 - 12Sqrt(2) + 8Sqrt(3) - 6*Sqrt(2)

Now, we can simplify it further by combining like terms:

Sqrt(12) can be simplified to Sqrt(43) = 2Sqrt(3)

-12Sqrt(2) - 6Sqrt(2) = -18*Sqrt(2)

So the expression simplifies to:

2Sqrt(3)/2 - 18Sqrt(2) + 8Sqrt(3)

= Sqrt(3) - 18Sqrt(2) + 8Sqrt(3)

= 9Sqrt(3) - 18*Sqrt(2)