Math Problem Statement

Simplify \(\sqrt{180}\) or evaluate the mathematical expression involving \(\sqrt{180}\).

Solution

The image appears to be rotated, but I can still interpret it. It seems to contain a mathematical expression, likely a square root or radical sign involving the number 180.

Are you asking for the simplification of 180\sqrt{180}? If so:

180=36×5=36×5=65\sqrt{180} = \sqrt{36 \times 5} = \sqrt{36} \times \sqrt{5} = 6\sqrt{5}

Let me know if you need further explanation or if you meant something else!

Related Questions:

  1. How do you simplify square roots of non-perfect squares?
  2. What is the prime factorization method for simplifying radicals?
  3. How do you approximate 180\sqrt{180} as a decimal?
  4. How do you rationalize the denominator of a fraction involving square roots?
  5. How do you solve equations involving square roots?

Tip: When simplifying square roots, look for the largest perfect square factor to extract.

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Math Problem Analysis

Mathematical Concepts

Radicals
Simplification of Square Roots
Prime Factorization

Formulas

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

Theorems

Properties of Radicals

Suitable Grade Level

Grades 8-10