Math Problem Statement

\sqrt{12}

Solution

The square root of 12 can be simplified as follows:

12=4×3=4×3=23\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}

So, 12=23\sqrt{12} = 2\sqrt{3}.

Would you like further details on this simplification, or do you have any questions?

Here are 5 related questions to explore further:

  1. What is the square root of 48, and can it be simplified?
  2. How do you simplify 18\sqrt{18}?
  3. Can you express 75\sqrt{75} in simplest form?
  4. How do you solve 8x2\sqrt{8x^2} for xx?
  5. How can you simplify 50+8\sqrt{50} + \sqrt{8}?

Tip: When simplifying square roots, factor the number under the square root into prime factors, and look for perfect squares.

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Math Problem Analysis

Mathematical Concepts

Simplifying Square Roots
Radicals

Formulas

\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}

Theorems

Fundamental Theorem of Arithmetic (for prime factorization)

Suitable Grade Level

Grades 7-9