Math Problem Statement

Between what two whole numbers is √2?

Solution

The question in the image asks, "Between what two whole numbers is 2\sqrt{2}?"

To solve this:

  1. The square root of 2 is approximately 1.4141.414.
  2. This value lies between the whole numbers 1 and 2.

So, the correct answer is 1 and 2.

Would you like further details or explanations?

Here are 5 related questions for practice:

  1. Can 3\sqrt{3} be written as a fraction? Why or why not?
  2. Between what two whole numbers is 3\sqrt{3}?
  3. How do you approximate irrational numbers like 5\sqrt{5}?
  4. What makes a number rational or irrational?
  5. Can 4\sqrt{4} be written as a fraction? If yes, what is it?

Tip: A number is irrational if it cannot be written as a fraction of two integers. Examples include π\pi and 2\sqrt{2}.

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Math Problem Analysis

Mathematical Concepts

Irrational Numbers
Square Roots

Formulas

√2 ≈ 1.414

Theorems

Irrational Numbers Theorem

Suitable Grade Level

Grade 6-8