Math Problem Statement
Simplify the square root of 63.
Solution
The expression in the image is .
To simplify , we break it down into prime factors:
So, can be rewritten as:
Thus, the simplified form of is .
Would you like more details or have any further questions? Here are some related questions you might find helpful:
- How do you simplify square roots involving larger numbers?
- What are the steps for finding the prime factorization of a number?
- How would you approximate to a decimal?
- How does simplifying square roots help in solving equations?
- Can all square roots be simplified in a similar manner?
Tip: Always check if a number under the square root has a perfect square factor. This helps in simplifying the expression.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Prime Factorization
Formulas
\( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \)
Theorems
Simplification of Square Roots
Suitable Grade Level
Grades 6-8