Math Problem Statement

23+632\sqrt3+\sqrt6-\sqrt3

Solution

To simplify the expression 23+632\sqrt{3} + \sqrt{6} - \sqrt{3}, we can combine like terms:

  1. Notice that 232\sqrt{3} and 3-\sqrt{3} are like terms (both involve 3\sqrt{3}).
  2. Combine these like terms: 233=(21)3=32\sqrt{3} - \sqrt{3} = (2 - 1)\sqrt{3} = \sqrt{3}
  3. Now, the expression becomes: 3+6\sqrt{3} + \sqrt{6}

The simplified expression is 3+6\sqrt{3} + \sqrt{6}.

Would you like more details on this process or have any other questions?

Here are 5 related questions you might find interesting:

  1. How do you simplify expressions involving radicals with different bases?
  2. Can you add or subtract terms with different square roots, like 2\sqrt{2} and 3\sqrt{3}?
  3. What is the process to rationalize the denominator in a fraction with radicals?
  4. How can you multiply expressions containing square roots?
  5. How do you solve equations that include square roots?

Tip: Always look for like terms when simplifying expressions, especially those involving square roots, to combine them easily.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Radicals
Simplification of Expressions

Formulas

Combining like terms involving square roots

Theorems

-

Suitable Grade Level

Grades 8-10