Understanding the Square Root of 3

This video tutorial from MooMooMath and Science explores the square root of 3, explaining that it is not a perfect square and is an irrational number known as the Theodorus constant. The video discusses its decimal representation, which has been computed to at least 10 billion digits, and provides a practical approximation of 1.732. It also covers the use of the square root of 3 in geometry, particularly in calculating the height of an equilateral triangle. The tutorial concludes with a positive message about kindness.

What type of number is the square root of 3?

• A rational number

• A perfect square

• A whole number

• An irrational number

What is the square root of 3 also known as?

• Euler's number

• Theodorus constant

• Golden ratio

• Pythagorean constant

To how many decimal places was the square root of 3 computed as of December 2013?

• 10 million

• 1 billion

• 1 million

• 10 billion

What is a commonly used decimal approximation for the square root of 3?

• 2.236

• 1.414

• 1.618

• 1.732

How can the square root of 3 be approximately represented as a fraction?

• 22/7

• 19/6

• 97/56

• 355/113

In an equilateral triangle, how is the height related to the side length and the square root of 3?

• Height equals side divided by 2 times square root of 3

• Height equals side divided by 2

• Height equals side times square root of 3

• Height equals side length

What is the significance of the square root of 3 in geometry?

• It is used to calculate the area of a circle

• It is used to determine the diagonal of a square

• It is used to calculate the volume of a cube

• It is used to find the height of an equilateral triangle