Math Problem Statement

√8

Solution

The square root of 8 can be simplified as follows:

8=4×2=4×2=22\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}

So, 8=22\sqrt{8} = 2\sqrt{2}, which is the simplified radical form.

If you want the decimal approximation:

82.828\sqrt{8} \approx 2.828

Would you like more details or have any other questions?

Here are 5 related questions to explore further:

  1. What is the square root of 18 in both simplified and decimal forms?
  2. How do you simplify radicals in general?
  3. What is the cube root of 8?
  4. What are some real-life applications of square roots?
  5. How do square roots relate to exponents?

Tip: Always look for perfect square factors when simplifying square roots!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Radicals
Square Roots
Simplifying Expressions

Formulas

√(a * b) = √a * √b
Decimal approximation of square roots

Theorems

Square root properties

Suitable Grade Level

Grades 6-8