Math Problem Statement

Evaluate the mathematical expression 5√2 × 4.

Solution

The expression in the image is:

52×45 \sqrt{2} \times 4

To solve this:

  1. Simplify the multiplication step by step: 5×4=205 \times 4 = 20

  2. Attach the square root of 2: 20220 \sqrt{2}

The simplified result is:

20220 \sqrt{2}

Would you like further details on this solution, or do you have any questions?

Related Questions

  1. How do you simplify expressions involving square roots and multiplication?
  2. What is the approximate decimal value of 20220 \sqrt{2}?
  3. Can this expression be further simplified algebraically?
  4. How do square roots behave under multiplication?
  5. What are some real-world applications of expressions like 20220 \sqrt{2}?

Tip

When working with square roots, remember that a×b=ab\sqrt{a} \times \sqrt{b} = \sqrt{ab}, which can help simplify more complex expressions.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Algebra
Square Roots
Simplification

Formulas

√a × b = b√a

Theorems

Properties of square roots and multiplication

Suitable Grade Level

Grades 6-8