Question

Represent.√2 on number line
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Answer 1

Hope this helpful

Steps:

1. First, we draw a line OA of length 1

2. Now, we draw a perpendicular of length 1 on point A as AB

3. From, Pythagoras Theorem, OB = √2

4. Now, take an arc of length OB, and draw it on the number line which meets as E.

So, at E, we can represent √2 as shown in the figure.

Answer 2

- DRAW A NUMBER LINE.

- CONSIDER THE POINT P AND Q SUCH THAT OP=1 UNIT, PQ=1 UNIT, AND PQ IS PARALLEL TO OP AS SHOWN IN THE ATTACHMEMT. FROM THE RIGHT TRIANGLE OPQ,

- OQ=

$\sqrt{op {2} } + \sqrt{pq {2} } = \sqrt{2} units$

-Now with O as centre and OQ=√2 as radius, cut the line number at P1 .

=> OP1 =√2 which is an irrational number.

Therefore, P1 is a point on the number line corresponding to the irrational number √2.