Math Problem Statement
Solve
Solution
The expression shown in the image is:
To simplify this, we can use the property of square roots:
So, we have:
Now, we can rationalize the denominator by multiplying the numerator and denominator by :
Thus, the simplified result is:
Would you like more details on the steps or further questions?
Related Questions:
- How do you simplify expressions with square roots?
- What does rationalizing the denominator mean?
- How do you simplify fractions under square roots?
- What is the square root property for division?
- Can you show an example of rationalizing a more complex denominator?
Tip:
When working with square roots, always check if the denominator can be simplified or rationalized to avoid having a square root in the denominator.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Simplification
Rationalizing Denominators
Formulas
\(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\)
Rationalization of denominators: \(\frac{1}{\sqrt{b}} \times \frac{\sqrt{b}}{\sqrt{b}}\)
Theorems
Simplification of square root fractions
Rationalizing denominators
Suitable Grade Level
Grades 8-10