QQuestionMathematics
QuestionMathematics
# Simplify $\sqrt{33}$.
(Type an exact answer in simplified form.)
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Answer
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Step 1:I'll solve this step by step:
Step 2:: Determine if $\sqrt{33}$ can be simplified
- To simplify a square root, we need to find the largest perfect square factor of the number under the radical
Step 3:: Find the factors of 33
- The factors of 33 are 1, 3, 11, and 33 - We need to identify which of these are perfect squares
Step 4:: Check for perfect square factors
- 1 is a perfect square - 3 is not a perfect square - 11 is not a perfect square - 33 is not a perfect square
Step 5:: Conclude the simplification
- Since no perfect square factor larger than 1 exists, $\sqrt{33}$ cannot be simplified further
- The number remains in its current form: $\sqrt{33}$
Final Answer
Note: $\sqrt{33}$ is already in its simplest radical form, as no perfect square factor can be extracted from under the radical.
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