Question

Can someone help me express this as a single fraction, i’m not sure of my answer

Answer 1

3x-6/2
`\sqrt{x-1`

Explanation:

1. first we have to get the denominator the same, so we multiply by
`\sqrt{x-1` to the first fraction top and bottom which leaves as with

3(x-1)/2
`\sqrt{x-1` - 3/2
`\sqrt{x-1`

- we can expand the numerator of the first fraction which becomes

3x-3/ 2
`\sqrt{x-1` - 3/2
`\sqrt{x-1`

2. we can now subtract te fraction as we have the same denominator this gives us

3x-6/2
`\sqrt{x-1`

3. your final answer would be

3x-6/2
`\sqrt{x-1`

{If the question asked to simplify your answer you would rationalize your answer by multiplying top and bottom by
`\sqrt{x-1` to give you the answer of

(3x-6)
`\sqrt{x-1`/2x-2}