Math Problem Statement

What is the simplified form of \(\sqrt{8}\)?

Solution

The expression in the image is 8\sqrt{8}, which represents the square root of 8.

To simplify 8\sqrt{8}: 8=4×2=4×2=22\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}

So, the simplified form of 8\sqrt{8} is 222\sqrt{2}.

Would you like further details or have any questions?

Here are five related questions to expand on this:

  1. What is the approximate decimal value of 2\sqrt{2}?
  2. How would you simplify the square root of a larger number, such as 72\sqrt{72}?
  3. Can square roots of negative numbers be simplified?
  4. How do you rationalize a denominator with a square root in it?
  5. What are cube roots, and how do they differ from square roots?

Tip: When simplifying square roots, always try to find the largest perfect square factor of the number.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simplification of Square Roots
Radical Expressions

Formulas

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

Theorems

-

Suitable Grade Level

Grades 6-8