The expression you've provided is:

\[
\sqrt{25} + \sqrt{49x}
\]

Let's break it down step by step:

1. The square root of 25 is 5, since \( \sqrt{25} = 5 \).
   
2. The second term, \( \sqrt{49x} \), can be simplified as \( \sqrt{49} \times \sqrt{x} = 7\sqrt{x} \), because \( \sqrt{49} = 7 \).

So, the simplified expression is:

\[
5 + 7\sqrt{x}
\]

If you'd like, I can explain how the square root works in more detail, or answer any other questions you have about this expression!

Here are 5 related questions:
1. What happens if we set a value for \( x \) in this expression?
2. How do you solve equations involving square roots?
3. Can square roots of negative numbers be simplified?
4. What is the square root of a product of two variables, like \( \sqrt{ab} \)?
5. How do you rationalize a denominator containing square roots?

**Tip**: When simplifying square roots, always check if you can break down the radicand into smaller perfect squares.

Explore the simplification of the expression square root of 25 plus square root of 49x. This problem involves square roots, including simplifying radicals and breaking them into smaller parts, such as \(5 + 7\sqrt{x}\). Perfect 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