Math Problem Statement
Fully simplify 3√75 + √45 + 2√20.
Solution
To simplify the expression , let's follow these steps:
- Simplify each square root by factoring out perfect squares.
-
For : So, .
-
For :
-
For : So, .
- Combine like terms: Combine and :
Thus, the simplified expression is:
Would you like further clarification or have any questions about this simplification?
Here are some related questions:
- How do we simplify square roots with perfect square factors?
- What is the difference between like and unlike terms in radical expressions?
- How do we add or subtract square roots with different radicands?
- How do we simplify higher-order square roots?
- What is the method for rationalizing the denominator when working with square roots?
Tip: Always check for perfect square factors first when simplifying square roots. It makes the process much quicker!
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
Combination of like terms
Factoring perfect squares
Formulas
√(a × b) = √a × √b
Simplify: a√n + b√n = (a + b)√n
Theorems
-
Suitable Grade Level
Grades 8-10