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Rationalizing Denominators and Conjugates Worksheet Form

Rationalizing Denominators and Conjugates Worksheet Form

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How to rationalize the denominator

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we're asked to rationalize and simplify and once again rationalize this part right here just means to get rid of any of the square roots or any of the radicals in the denominator so we really want to get rid of this somehow and it won't be as simple as multiplying the numerator and the denominator by the principal square root of x because if we did that we would multiply the principal square root of x times this and that would get rid of the radical here but then you would have negative 1 times the principal squared of x it would still stick around the denominator so the way to rationalize something like this where you have a binomial with a with a radical in it in the denominator is to multiply by the this is a fancy word i'm about to say by the conjugate of the denominator so you have square root of x minus 1 and so what you do is you want to multiply the denominator by the square root of x plus 1. and i'll show you in a second why why we're doing that and of course anything you mult

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