We can write √10 as
√9+1
√3²+1²
1. Take a line segment AO=3 unit on the x-axis. (consider 1 unit = 2 cm)
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 in the below diagram represents √10 units
We know that
√16=4 and
√17 =√4² + 1²
Mark point A representing 4 on number line .
Now construct AB of unit length perpendicular to OA .
Then taking O as centre and OB as radius.
Draw an arc intersecting number line at C .
C is represented as √17
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Answers & Comments
We can write √10 as
√9+1
√3²+1²
1. Take a line segment AO=3 unit on the x-axis. (consider 1 unit = 2 cm)
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 in the below diagram represents √10 units
We know that
√16=4 and
√17 =√4² + 1²
Mark point A representing 4 on number line .
Now construct AB of unit length perpendicular to OA .
Then taking O as centre and OB as radius.
Draw an arc intersecting number line at C .
C is represented as √17