I was looking over a problem to make sure I hadn't messed up my arithmetic and I put the term (-SQRT(18-12SQRT(2))/6 into my calculator and it reduced it to (2SQRT(3)-SQRT(6))/6.(adsbygoogle = window.adsbygoogle || []).push({});

I found approximate values for these two expressions and they were in fact equal. So my question is, how does one figure out how to reduce expressions involving fourth roots and square roots into those involving only square roots without the use of a TI-89 or any other exact value calculator? Could you show me step-by-step on this one as an example?

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# Simplifying Expressions Involving Square and Fourth Roots

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