Math Problem Statement

3\sqrt3+3\sqrt3

Solution

The expression is:

3+3\sqrt{3} + \sqrt{3}

Since both terms are the same, we can combine them like this:

232\sqrt{3}

So, the simplified expression is:

232\sqrt{3}

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

  1. What is the decimal value of 3\sqrt{3}?
  2. How would you simplify 33+533\sqrt{3} + 5\sqrt{3}?
  3. What is 3×3\sqrt{3} \times \sqrt{3}?
  4. Can you simplify 22+232\sqrt{2} + 2\sqrt{3}?
  5. How do you handle the addition of different square roots, like 2+5\sqrt{2} + \sqrt{5}?

Tip: When combining radicals, make sure they are like terms, which means they must have the same radicand (the number inside the square root).

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Math Problem Analysis

Mathematical Concepts

Radicals
Simplifying Expressions

Formulas

a√x + b√x = (a+b)√x

Theorems

Addition of Like Radicals

Suitable Grade Level

Grades 6-8