Question

Answer needs to be in rational for, do not use mixed numbers.
`(1)/(2) √(98)-6√(72)`

Answer 1

`(1)/(2) * 7 √(2) - 36 √(2) \\ (7 √(2) )/(2) - 36 √(2) \\ (65 √(2) )/(2) \\ - 45.96`

Answer 2

Explanation:

You can't get a rational result. √2 does not go away.

√98 = √(49 * 2) = √7 * 7 * 2 = 7√2

6*√72 = 6 * √(2 * 2 * 2 * 3*3) = 6 * 2 * 3 √2 = 36√2

1/2 * 7√2 - 6*6*√2

√2 (3.5 - 36)

√2 * (-32.5) or

-32.5 * √2