Math Problem Statement

√(2²) × √(7²) + 4

Solution

The expression in the image is:

22×72+4\sqrt{2^2} \times \sqrt{7^2} + 4

Let me solve it step by step:

  1. Simplify the square roots:

    • 22=2\sqrt{2^2} = 2
    • 72=7\sqrt{7^2} = 7
  2. Multiply the results: 2×7=142 \times 7 = 14

  3. Add 4 to the result: 14+4=1814 + 4 = 18

So, the final value of the expression is:

18\boxed{18}

Do you want further details or have any questions?

Here are some related questions you might be interested in:

  1. How are square roots simplified?
  2. How would the result change if the exponents were different?
  3. What happens if there are negative numbers inside the square roots?
  4. Can square roots always be simplified this way?
  5. What if the operation involved cube roots instead?

Tip: When simplifying expressions with square roots, always check for perfect squares!

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Math Problem Analysis

Mathematical Concepts

Algebra
Square Roots
Multiplication
Addition

Formulas

√(a²) = a

Theorems

Simplification of Square Roots

Suitable Grade Level

Grades 6-8