Math Problem Statement

Simplify \frac{\sqrt{64}}{\sqrt{16}}

Solution

The problem is asking to simplify:

6416\frac{\sqrt{64}}{\sqrt{16}}

We can simplify this by first evaluating the square roots:

64=8and16=4\sqrt{64} = 8 \quad \text{and} \quad \sqrt{16} = 4

Thus, the expression becomes:

84=2\frac{8}{4} = 2

So, the correct answer is 2.

Would you like more details or have any further questions?

Here are five related questions you might find useful:

  1. What is the general rule for dividing square roots?
  2. How do we simplify expressions with variables inside square roots?
  3. What happens if the number inside a square root is negative?
  4. How do you simplify cube roots compared to square roots?
  5. Can you simplify expressions with multiple square roots and addition?

Tip: When simplifying square roots, always check if the number can be reduced by taking the square root directly. This helps speed up the simplification process.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simplifying square roots
Division of radicals

Formulas

\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}
Basic square roots

Theorems

Properties of square roots

Suitable Grade Level

Grades 7-9