HOW TO REPRESENT ROOT 5 ON NUMER LINE?

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First you have to locate root 4 and then find root 5....watch  a youtube video which will help you with formulas and techniques.

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Answer

Representing √5 on a Number Line

To represent the square root of 5 (√5) on a number line, we need to locate the position of √5 between two integers. Here is a step-by-step guide to help you understand how to represent √5 on a number line:

Step 1: Draw a Number Line
Start by drawing a straight line with arrows on both ends. This line represents the number line.

Step 2: Mark the Integers
Label the integers on the number line. You can choose a suitable scale, such as marking every unit or every half unit, depending on the available space.

Step 3: Identify the Two Integers
Next, identify the two integers between which √5 lies. In this case, it is between 2 and 3.

Step 4: Divide the Interval
Divide the interval between the two integers into equal parts. You can choose any number of divisions based on the scale of the number line and the precision required. For simplicity, let's divide it into four equal parts.

Step 5: Locate √5 on the Number Line
Now, the tricky part is to find the exact position of √5 on the number line. Since √5 lies between 2 and 3, we know that its value is slightly greater than 2 but less than 3.

To estimate the position of √5, recall that the square root of 4 is 2 and the square root of 9 is 3. Therefore, √5 is greater than √4 but less than √9.

Step 6: Mark the Approximate Location
Based on the estimation, mark an approximate location for √5 on the number line. It should be closer to 2 but not as close as 3.

Step 7: Refine the Approximation
To get a more accurate representation, you can use a calculator or mathematical techniques to find the decimal approximation of √5, which is approximately 2.236. Locate this value on the number line with precision.

Step 8: Label √5
Finally, label the point representing √5 as √5 on the number line.

Conclusion
By following these steps, you can effectively represent the square root of 5 (√5) on a number line. Remember to estimate and refine the approximation to get a more accurate representation.

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