Question

Represent ✓17,✓10 on the number line

Answer 1

Answer:

√10

We can do it by using Pythagoras Theorem.

We can write √10 = √(9 + 1)

=> √10 = √(32 + 1)

Construction

1. Take a line segment AO = 3 unit on the x-axis. (consider 1 unit = 2cm)

2. Draw a perpendicular on O and draw a line OC = 1 unit

3. Now join AC with √10.

4. Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.

5. The line segment AC represents √10 units.

√17

Step 1.

Draw a right angle triangle OBA, ∠A = 90

Now, OA = 4 and AB = 1

Using Pythagorus Theorem,

OB2 = OA2 + AB2

=> OB2 = 42 + 12

=> OB2 = 16 + 1

=> OB2 = 17

=> OB = √17

Step 2.

Now, taking O as centre and OB as radius, draw an arc to cut the number line l at C.

So, OC = √17