SOLUTION: Could you please help me to simplify this problem: 2^(2/3) + 3(2^(2/3).

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Question 74893: Could you please help me to simplify this problem:
2^(2/3) + 3(2^(2/3).
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 2%5E%282%2F3%29%2B3%2A%282%5E%282%2F3%29%29 simplifies to 6.3496042078728
  • Text form: 2^(2/3)+3*(2^(2/3)) simplifies to 6.3496042078728
  • Cartoon (animation) form: simplify_cartoon%28+2%5E%282%2F3%29%2B3%2A%282%5E%282%2F3%29%29+%29
    For tutors: simplify_cartoon( 2^(2/3)+3*(2^(2/3)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%5E%282%2F3%29%2Bhighlight_red%28+3%2A%28highlight_red%28+2%5E%282%2F3%29+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+2%5E%282%2F3%29+%29
It becomes 2%5E%282%2F3%29%2B3%2Ahighlight_green%28+2%5E%282%2F3%29+%29.
Look at highlight_red%28+2+%29%5Ehighlight_red%28+%282%2F3%29+%29%2B3%2A2%5E%282%2F3%29.
Replace constants in factor: highlight_red%28+2+%29,highlight_red%28+%282%2F3%29+%29 with highlight_green%28+1.5874010519682+%29
It becomes highlight_green%28+1.5874010519682+%29%2B3%2A2%5E%282%2F3%29.
Look at 1.5874010519682%2B3%2Ahighlight_red%28+2+%29%5Ehighlight_red%28+%282%2F3%29+%29.
Replace constants in factor: highlight_red%28+2+%29,highlight_red%28+%282%2F3%29+%29 with highlight_green%28+1.5874010519682+%29
It becomes 1.5874010519682%2B3%2Ahighlight_green%28+1.5874010519682+%29.
Look at highlight_red%28+1.5874010519682+%29%2Bhighlight_red%28+3%2A1.5874010519682+%29.
Replace constants in expression: highlight_red%28+1.5874010519682+%29,highlight_red%28+3%2A1.5874010519682+%29 with highlight_green%28+6.3496042078728+%29
It becomes highlight_green%28+6.3496042078728+%29.
Result: 6.3496042078728

Universal Simplifier and Solver


Done!

Hope this helps!