SOLUTION: sqrt of 2 divided by sqrt of 6- sqrt of 3 i know to take the exponent 2 so that i will have sqrt2 * sqrt 6 - sqrt 3 divided by 3... then i don't know...

Question 151056: sqrt of 2 divided by sqrt of 6- sqrt of 3
i know to take the exponent 2 so that i will have sqrt2 * sqrt 6 - sqrt 3 divided by 3... then i don't know...
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Take note that the conjugate of the denominator is . If we multiply the fraction by , this will eliminate the square roots in the denominator

Multiply the fraction by

Combine the fractions.

Foil the denominator to get

Distribute

Combine and multiply the square roots.

Simplify the square root.

So after rationalizing the denominator, the expression simplifies to

In other words,
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