Math Problem Statement
Express x√(x^7) in simplest radical form.
Solution
The expression provided in the image is , and the task is to simplify it to its simplest radical form.
Step-by-step solution:
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Simplifying the radical: Since , we get:
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Multiplying by the outside term: Now, we multiply this result by the original :
Thus, the expression simplifies to .
Correct answer:
The correct answer is , which matches option (C) in the image.
Would you like further details on this solution or have any questions?
Here are 5 related questions for deeper understanding:
- How do you simplify expressions with square roots involving exponents?
- Why can we factor powers of inside square roots?
- How would the simplification differ if it were a cube root instead of a square root?
- Can you simplify in a similar way?
- How do you handle mixed radical and exponential expressions in general?
Tip: Always look for perfect squares when simplifying square roots involving variables to simplify the expression more easily.
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Math Problem Analysis
Mathematical Concepts
Algebra
Radicals
Exponents
Formulas
√(a^b) = a^(b/2)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 9-12