Asked by Kirstan Woodward on May 12, 2024
Verified
Simplify the expression 3x3−3+x3+103 \sqrt [ 3 ] { x } - 3 + \sqrt [ 3 ] { x } + 1033x−3+3x+10 .
A) x3+7\sqrt [ 3 ] { x } + 73x+7
B) 4x3−74 \sqrt [ 3 ] { x } - 743x−7
C) 4x3+74 \sqrt [ 3 ] { x } + 743x+7
D) 7x3+47 \sqrt [ 3 ] { x } + 473x+4
E) 4x4 \sqrt { x }4x
Cube Root
The number that, when multiplied by itself three times, gives the original number.
- Implement the process of reducing complexity in expressions with radicals, specifically square roots and more advanced roots.
Verified Answer
JP
Jason PeterMay 12, 2024
Final Answer :
C
Explanation :
Combining like terms, 3x3+x3=4x33 \sqrt [ 3 ] { x } + \sqrt [ 3 ] { x } = 4 \sqrt [ 3 ] { x }33x+3x=43x and −3+10=7-3 + 10 = 7−3+10=7 , so the simplified expression is 4x3+74 \sqrt [ 3 ] { x } + 743x+7 .
Learning Objectives
- Implement the process of reducing complexity in expressions with radicals, specifically square roots and more advanced roots.
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