The expression \( \sqrt{\sqrt{4}} \) can be simplified as follows:

1. First, calculate \( \sqrt{4} \):
   \[
   \sqrt{4} = 2
   \]

2. Now, take the square root of the result:
   \[
   \sqrt{2} \approx 1.414
   \]

So, \( \sqrt{\sqrt{4}} \approx 1.414 \).

Would you like a more detailed explanation or have any other questions?

Here are some related questions:
1. What is the general rule for simplifying nested square roots?
2. How do you simplify \( \sqrt{\sqrt{16}} \)?
3. What is the square root of non-perfect square numbers?
4. How is \( \sqrt{2} \) used in geometry or trigonometry?
5. How do you handle cube roots within square roots?

**Tip:** Nested square roots often require simplifying step-by-step, starting from the innermost expression.

Learn how to simplify the nested square root expression sqrt(sqrt(4)) with a clear step-by-step solution. This problem covers the concept of radicals and nested square roots, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation