Math Problem Statement

square root of 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}

So, 50=527.071\sqrt{50} = 5\sqrt{2} \approx 7.071.

Would you like more details on how I simplified this, or do you have any other questions?

Here are 5 related questions to explore:

  1. What is the square root of 75 in simplified form?
  2. How do you simplify square roots of non-perfect squares?
  3. What is the square of 50\sqrt{50}?
  4. Can you find the cube root of 50?
  5. What are some common methods to approximate square roots?

Tip: Breaking down a number into its prime factors can help simplify square roots easily.

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Math Problem Analysis

Mathematical Concepts

Radicals
Simplifying Square Roots

Formulas

√a * √b = √(a * b)
√50 = 5√2

Theorems

Prime Factorization

Suitable Grade Level

Grades 6-8