Simplify : a) -6 square root (80) + 2 square root (75) - 8 suqare root (245) -14 square root (108)Perform the indicated operation.

We need to simplify the numbers inside the radical by
factoring out any perfect squares.

= -6 sqrt(16*5) + 2
sqrt(25*3) - 8 sqrt(49*5) - 14 sqrt(36*3)

= -6*4*sqrt(5) +
2*5*sqrt(3) - 8*7*sqrt(5) - 14*6*sqrt(3)

= -24 sqrt(5) + 10
sqrt(3) - 56 sqrt(5) - 84 * sqrt(3)

Now we simplify by
combining like terms, in this case terms with the same numbers inside the
radical.

= (-24 - 56) sqrt(5) + (10 - 84)
sqrt(3)

and we get the final answer
of

= -80 sqrt(5) - 74 sqrt(3)