What is the square root of 3 divided by 2?

To find the square root of 3 divided by 2, we can break this down into two parts: calculating the square root of 3 and then dividing that result by 2. Let's go through this step by step.

Calculating the Square Root of 3

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2 because 2 x 2 = 4. In the case of 3, it is an irrational number, meaning it cannot be expressed as a simple fraction. The approximate value of the square root of 3 is about 1.732.

Performing the Division

Now that we have the square root of 3, we can divide it by 2. This can be expressed mathematically as:

Result = (√3) / 2

Substituting the approximate value of the square root of 3, we get:

Result ≈ 1.732 / 2

When you perform this division, you find:

Result ≈ 0.866

Final Result

Therefore, the square root of 3 divided by 2 is approximately 0.866. This value is often used in various mathematical contexts, including geometry and trigonometry, especially when dealing with angles in a unit circle.

Practical Applications

• Geometry: This value can be useful when calculating the height of an equilateral triangle.
• Trigonometry: It appears in the sine and cosine values for specific angles.

Understanding how to manipulate square roots and perform divisions is a fundamental skill in mathematics that can help in various advanced topics. If you have any further questions about square roots or related concepts, feel free to ask!