Math Problem Statement

simplify √50

Solution

The square root of 50 can be simplified as follows:

50=25×2=25×2=52\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2}

Thus, the simplified form of 50\sqrt{50} is 525\sqrt{2}.

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. How would you simplify 72\sqrt{72}?
  2. What is the square root of 502\frac{50}{2}?
  3. How do you simplify 75\sqrt{75}?
  4. How would you express 18\sqrt{18} in its simplest form?
  5. How do you simplify 585\sqrt{8}?

Tip: To simplify square roots, look for the largest perfect square factor within the number under the radical.

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Math Problem Analysis

Mathematical Concepts

Simplifying Square Roots
Radicals

Formulas

√(a × b) = √a × √b

Theorems

Product Property of Square Roots

Suitable Grade Level

Grades 8-10