Math Problem Statement

√128

Solution

The square root of 128 can be simplified as follows:

128=64×2=64×2=82\sqrt{128} = \sqrt{64 \times 2} = \sqrt{64} \times \sqrt{2} = 8\sqrt{2}

So, the simplified form of 128\sqrt{128} is:

828\sqrt{2}

Would you like a detailed explanation on how to simplify square roots?

Here are 5 related questions:

  1. What is 50\sqrt{50} in simplified form?
  2. How do you simplify 200\sqrt{200}?
  3. What is 72\sqrt{72}?
  4. Can you simplify 18\sqrt{18}?
  5. How do you solve 32\sqrt{32}?

Tip: When simplifying square roots, always look for perfect squares that are factors of the number under the root.

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Math Problem Analysis

Mathematical Concepts

Simplification of Square Roots
Radicals

Formulas

√(a × b) = √a × √b

Theorems

Properties of Square Roots

Suitable Grade Level

Grades 8-10