Math Problem Statement
If x≥ 0 and y > 0 are real numbers, simplify the following expression
Solution
The expression in the image appears to be:
To simplify this:
Step 1: Simplify the square root
The number inside the square root, 72, can be factored into , and since 36 is a perfect square, we can simplify it:
Step 2: Substitute into the original expression
Now substitute into the expression:
Step 3: Simplify the expression
The 6's cancel out, so you are left with:
Thus, the simplified expression is:
Would you like more details or have any questions? Here are five related questions for further exploration:
- How do you simplify square roots of non-perfect squares?
- What is the general process for simplifying radical expressions involving variables?
- Can you apply this simplification to any other similar expressions involving different numbers?
- What are the conditions under which the square root function is defined?
- How does this simplification help in solving equations involving radicals?
Tip: Always look for perfect square factors inside the square root to simplify the expression easily.
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Math Problem Analysis
Mathematical Concepts
Simplifying Radical Expressions
Square Roots
Algebra
Formulas
\sqrt{a * b} = \sqrt{a} * \sqrt{b}
Theorems
Properties of Square Roots
Factorization of Radicals
Suitable Grade Level
Grades 9-11