Math Problem Statement

Simplify the expression: √25 - √49

Solution

The expression shown in the image is:

2549\sqrt{25} - \sqrt{49}

We can now simplify this:

25=5\sqrt{25} = 5 49=7\sqrt{49} = 7

Thus, the expression becomes:

57=25 - 7 = -2

The final result is 2-2.

Would you like more details or have any questions?

Here are five questions that expand on this topic:

  1. What is the general process for simplifying square roots?
  2. Can square roots of non-perfect squares be simplified in a similar way?
  3. How can you use square roots in solving quadratic equations?
  4. What is the difference between simplifying a square root and solving a square root equation?
  5. Can the negative of a square root exist in real numbers?

Tip: When simplifying square roots, always check if the number under the square root is a perfect square to make the process easier.

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Math Problem Analysis

Mathematical Concepts

Simplifying Square Roots
Basic Arithmetic

Formulas

√a = b, where b^2 = a

Theorems

Square Root Theorem

Suitable Grade Level

Grades 6-8