SOLUTION: Please help me simplify this expression: {{{1/( 1 - sqrt(2) + sqrt(3))}}}

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Question 984309: Please help me simplify this expression:
1%2F%28+%0D%0A1+-+sqrt%282%29+%2B+sqrt%283%29%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


This is not an equation; there is no equals sign. It is an expression. I took the liberty of correcting the terminology in your question.

I'm going to assume you know how to rationalize your denominator when you have a binomial expression by multiplying numerator and denominator by the conjugate of the denominator. Here you just have to expand your definition of conjugate:



The result of the above operation is a fraction with an irrational binomial in the denominator. Just multiply by the conjugate again and simplify. Write back with your answer and I'll check it for you.

John

My calculator said it, I believe it, that settles it