Question

represent √4.5 on the no LINE

Answer 1

Dear Student,

Please find below the solution to the asked query:

We follow these steps to represent 4.5−−−√ on number line :

Step 1 : Draw a line AB = 4.5 unit

Step 2 : Now extend line AB , As BC = 1 unit

Step 3 : TAke radius more than half of AC and center " A " and " C " draw two arcs from both points on both side of line AC , these arcs intersect at " X " and " Y " . .

Step 4 : Join XY . Line XY intersect line AC at " O " . Take radius OA = OC and draw a semicircle .

Step 5 : Take any radius ( less than BC ) and center " B " draw a semicircle that intersect line AC at " P " . Now with same radius and center " P " draw an arc that intersect our semicircle at " Q " .With same radius and center " Q " draw an arc that intersect our semicircle at " R " .With same radius and center " Q " and " R " draw arcs these arcs intersect at " S " .

Step 6 : Join BS and extend that line intersect our main semicircle at " D " .

Step 7 : Now we take point " B " at origin . and with radius of BD we draw an arc that intersect our number line at " D " . We represent 4.5−−−√ at " D " .
Refer to picture

Hope this information will clear your doubts about topic.


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