Question

Show how √5 can be represented on the number line.​

Answer 1

Answer:

We draw the right angle at the point of A and construct the right angle triangle ΔOAB such that AB=1unit. The line segment OB will be our choice for p=1. We take the arc OB=√5 from O and cut the number line at the point G. G will represent the number √5 in the number line.

Answer 2

Step-by-step explanation:

To draw square root of 5 on a number line, following steps are to be followed.

• step 1: Draw a number line. Mark O as the zero on the number line.
• Step 2: Mark a point A as -5 on the number line.
• Step 3: Mark a point C as 1 on the number line.
• Step 4: Mark a point B as the mid-point of AC.
• Step 5: With point B as the centre and radius as AB draw a semicircle.
• Step 6: From O draw a perpendicular line to the number line that intersects the previous drawn semi-circle at D. Here OD = square root of 5.
• Step 7: With O as centre and radius as OD, draw an arc that intersects the number line at point E. Here E is the point square root of 5 on the number line.