Math Problem Statement
Express in simplest radical form: √(9x^12).
Solution
Let's solve the given problem.
We are tasked with simplifying the radical expression:
Step-by-step Solution:
-
Separate the square root:
-
Simplify each term:
- The square root of is :
- The square root of is (since ).
-
Combine the results:
Final Answer:
This matches the first option in the provided answers.
Do you want further clarification or more examples?
Here are 5 related questions to expand your understanding:
- How do you simplify ?
- What is the general rule for simplifying ?
- How do fractional exponents relate to square roots?
- How do you handle expressions like , where the exponent is odd?
- What are the properties of square roots and exponents used in this problem?
Tip: When simplifying square roots, always factor out perfect squares to simplify the process!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Simplification of square roots
Radicals
Exponents
Formulas
√(ab) = √a × √b
√(x^n) = x^(n/2)
Theorems
Properties of square roots and exponents
Suitable Grade Level
Grades 8-10