SOLUTION: what is the cubed root of x^2+2=3? please show work! (:

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Question 621451: what is the cubed root of x^2+2=3?
please show work! (:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this the problem?
+root%28+3%2Cx%5E2+%2B+2+%29+=+3+
If so,
Cube both sides
+%28+root%28+3%2Cx%5E2+%2B+2+%29%29%5E3+=+3%5E3+
+x%5E2+%2B+2+=+27+
Subtract +2+ from both sides
+x%5E2+=+25+
Take the square root of both sides
+x+=+5+
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check answer:
+root%28+3%2Cx%5E2+%2B+2+%29+=+3+
+root%28+3%2C5%5E2+%2B+2+%29+=+3+
+root%28+3%2C+27%29+=+3+
Cube both sides
+27+=+27+
OK