Question

Simplify the radical expression. 2 sqrt6 + 3 sqrt 96

a)14 sqt 6
b)14 sqrt 96
c)5 sqrt 96
d)5 sqrt 6

Answer 1

`2 √(6) + 3 √(96)`

First break down 96 into the smaller factors of 6 and 16

`2 √(6) + 3 √(16*6)`

Now the square root of 16 comes out even as 4 so you can evaluate that part.

`2 √(6) + (3 * 4) √(6)`

Multiply 3 and 4 to get 12

`2 √(6) + 12 √(6)`

And now that the square roots on both parts of the eqations are the same you can add them to get:
`14 √(6)`

Therefore your answer is a

Answer 2

the answer would be a) 14 sqrt 6