Derooting with Radicals

My students were working in pairs on this problem,

Radical Expression To Be Simplified

Radical Expression To Be Simplified

One group, looking for perfect square factors, had gotten this far,

Radical Expression Simplified So Far

Radical Expression Simplified So Far

One person asked the other, “Now what?”  The other replied, “Just deroot the to the eight and the y to the eight.  The other said, “I get it.” and they got,

Simplified Expression

Simplified Expression

What a great word!  Dare I add “deroot” to the conversation next time we work such a problem?  I think so..

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About jrh794

I am a sixty-five year old math instructor at Southern Oregon University. I taught at the College of the Siskiyous in Weed California for twenty-six years. Prior to that I worked as a computer programmer, carpenter and in various other jobs. I graduated from Rice University in 1967 and have a MS in Operations Research from Stanford. In the past I have hand-built a stone house and taken long solo bicycle tours. Now I ride my mountain bike and play golf for recreation.
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