Math Problem Statement

Can u do 8/ square root of 32

Can you simplify 8 divided by the square root of 32x?

Solution

The simplified form of the expression 832x\frac{8}{\sqrt{32x}} is 2x\frac{\sqrt{2}}{\sqrt{x}}.

Would you like further clarification or details on this solution?

Here are 5 related questions for deeper understanding:

  1. How do you simplify square roots of products, such as 32x\sqrt{32x}?
  2. How do you handle square roots in the denominator?
  3. Can you explain the general process for simplifying fractions with radicals?
  4. What is the significance of the factorization of 32 in this simplification?
  5. How do you rationalize the denominator when there is a square root?

Tip: To simplify square roots of numbers like 32, break them into their prime factors (e.g., 32=2532 = 2^5) to easily extract square factors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Radicals
Square Roots

Formulas

Simplifying Square Root: \( \sqrt{a} \times \sqrt{b} = \sqrt{ab} \)
Rationalizing the Denominator: \( \frac{1}{\sqrt{a}} = \frac{\sqrt{a}}{a} \)

Theorems

Square Root Simplification

Suitable Grade Level

Grades 8-10