https://file.aiquickdraw.com/mathbot/file/1726647717438w5iem0dr.jpg

The expression in the image is:

\[
\sqrt{4} + \sqrt{25} - \sqrt{9} - \sqrt{2^2} \times \sqrt{7^2} + 4
\]

Let's break it down step by step:

1. \(\sqrt{4} = 2\)
2. \(\sqrt{25} = 5\)
3. \(\sqrt{9} = 3\)
4. \(\sqrt{2^2} = 2\)
5. \(\sqrt{7^2} = 7\)

Now, substitute these values back into the expression:

\[
2 + 5 - 3 - (2 \times 7) + 4
\]

Simplify:

\[
2 + 5 - 3 - 14 + 4
\]

Now, perform the operations from left to right:

\[
(2 + 5) = 7
\]
\[
7 - 3 = 4
\]
\[
4 - 14 = -10
\]
\[
-10 + 4 = -6
\]

The final result is:

\[
\boxed{-6}
\]

Would you like a further breakdown or explanation of any step?

Here are five related questions to expand your understanding:

1. What is the general rule for simplifying square roots of perfect squares?
2. How does the order of operations affect the calculation in this expression?
3. Why is \(\sqrt{2^2}\) simplified to 2, and how does this rule apply to other squares?
4. How does multiplication inside square roots differ from operations outside them?
5. Can square roots of non-perfect squares be simplified similarly?

**Tip**: Always resolve powers and square roots before applying addition, subtraction, or multiplication.

√4 + √25 - √9 - √2² × √7² + 4

Learn how to simplify the square root expression √4 + √25 - √9 - √2² × √7² + 4 with a detailed step-by-step solution. Understand key mathematical concepts like square roots and order of operations, 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