Question

draw √17 on nunber line

Answer 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