SOLUTION: How can you write this expression with a rationalized denominator? Please explain Squareroot 3 - square root 6 / square root 3 + square root 6

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Question 685346: How can you write this expression with a rationalized denominator? Please explain
Squareroot 3 - square root 6 / square root 3 + square root 6

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
How can you write this expression with a rationalized denominator? Please explain
Squareroot 3 - square root 6 / square root 3 + square root 6

%28sqrt%283%29+-+sqrt%286%29%29%2F%28sqrt%283%29+%2B+sqrt%286%29%29

%28sqrt%283%29+-+sqrt%286%29%29%2F%28sqrt%283%29+%2B+sqrt%286%29%29 * %28sqrt%283%29+-+sqrt%286%29%29%2F%28sqrt%283%29+-+sqrt%286%29%29 ---- Multiplying numerator and denominator by sqrt%283%29+-+sqrt%286%29 in order to RATIONALIZE denominator





%283+-+2sqrt%2818%29+%2B+6%29%2F%283+-+6%29 ---- %289+-+2sqrt%2818%29%29%2F-+3 ----- %289+-+2sqrt%289+%2A+2%29%29%2F-+3 ----- %289+-+2sqrt%283%5E2+%2A+2%29%29%2F-+3 ----- %289+-+6sqrt%282%29%29%2F-+3 ----- %283%283+-+2sqrt%282%29%29%29%2F-+3 ----- %28cross%283%29%283+-+2sqrt%282%29%29%29%2F-+1cross%28-+3%29

-+%283+-+2sqrt%282%29%29, or highlight_green%28-+3+%2B+2sqrt%282%29%29

You can do the check!!

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