SOLUTION: simplify the square root of 10 - 2/the square root of 10 +3

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Question 194099: simplify
the square root of 10 - 2/the square root of 10 +3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
simplify
the square root of 10 - 2/the square root of 10 +3
-----------------
(sqrt(10)-2)/(sqrt(10)+3)
Multiply numerator and denominator by sqrt(10)-3 to get:
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[(sqrt(10)-2)(sqrt(10)-3)]/[10-9)
---
= [10+6-5sqrt(10)]/1
= (16-5sqrt(10))
==========================
Cheers,
Stan H.

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