Answer:
Step-by-step explanation:
Remark
The editor must have brackets put around the denominator when there are 2 terms.
That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.
To rationalize the denominator, you must multiply numerator and denominator by the conjugate (√8 + √3).
Solution
√5 * (√8 - √3) / ( (√8 - √3) * (√8 + √3) )
I don't think there is any point in removing the brackets in the numerator. Just leave it.
The denominator is a different matter.
denominator = ( (√8 - √3) * (√8 + √3) )
√8 * √8 = 8
√8 * √3 = √24
- √3 * √8 = - √24
-√3 * √3 = - 3
Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.
What you are left with is 8 - 3 = 5
So the final answer is
√5 * (√8 - √3)
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5
