What is the square root of 40?

The square root of 40 is not a whole number or a simple fraction. It's an irrational number, meaning its decimal representation goes on forever without repeating.

Here's what we can say about it:

  • Approximate Value: √40 ≈ 6.324555...

  • Simplified Radical Form: We can simplify it by factoring 40: 40 = 4 * 10. Since √4 = 2, we can simplify √40 to 2√10. This is considered the most exact form without resorting to decimals.

  • Relationship to other numbers: It lies between √36 (which is 6) and √49 (which is 7).

  • Calculation: You can approximate it using a calculator or a computer program. More sophisticated methods exist for calculating square roots manually, but they are beyond the scope of a simple explanation.