Draw an arc with centre O and radius OR.Mark the point of intersection line and the arc as C.The point C shows the number 3 root
Answers
Given : OQ = √2
To Find : Draw OC = √3 on number line
Solution:
See the attached Figure
OQ = √2
Draw Right angle at Q on OQ & Take length 1 from Q and cut drawn angle at R , QR ⊥ OQ
QR = 1
OR² = OQ² + QR²
=> OR² = (√2)² + (1)²
=> OR² = 2 + 1
=> OR² = 3
=> OR = √3
Draw an arc with centre O and radius OR.Mark the point of intersection line and the arc as C
OC = OR = √3
√2 could have been drawn like
OP = 1 PS = 1 PS ⊥ OP
OS² = OP² + PS²
OS = √2
OQ = OS = √2 ( taking OS as radius & intersecting number line at Q)
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