Math Problem Statement

x8x\sqrt8

Solution

The expression x8x\sqrt{8} can be simplified. Here’s how:

  1. Simplifying the square root: The square root of 8 can be broken down into: 8=4×2=4×2=22\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}

  2. Substitute back into the expression: x8=x×22=2x2x\sqrt{8} = x \times 2\sqrt{2} = 2x\sqrt{2}

So, the simplified form of x8x\sqrt{8} is 2x22x\sqrt{2}.

Would you like more details or have any questions?


Here are 5 related questions:

  1. How do you simplify expressions with square roots?
  2. What is the process of rationalizing a denominator?
  3. Can all square roots be simplified?
  4. How do you solve equations involving square roots?
  5. What are the properties of square roots and exponents?

Tip: When simplifying square roots, always look for perfect square factors to reduce the expression to its simplest form.

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Math Problem Analysis

Mathematical Concepts

Algebra
Square Roots

Formulas

Simplifying square roots

Theorems

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Suitable Grade Level

Grades 7-9