Question

locate 3√2 on the number line ​

Answer 1

.Mark point B which represents number 4 on the number line.

Construct AB of unit length perpendicular to OB.

Taking O as centre and OA as radius. Draw an arc intersecting number line at X.

X is represented as √17.

Similarly extend A to X same as diatance AB.

Join OX where OX = √18 = 3√2

Answer 2

Answer:

(Refer Below)

Step-by-step construction:

1. Mark point B which represents number 4 on the number line.

2. Construct AB of unit length perpendicular to OB.

3. Taking O as center and OA as radius. Draw an arc intersecting number line at X.  

4. X is represented as √17.

5. Similarly extend A to X same as distance AB.  (Preferably 1 unit)

6. Join OX where OX = √18 = 3√2

(Check Picture too for reference.)

Thanks!