Question

Represent root 3.8 on numbes line.​

Answer 1

${\huge{\red{\sf{Given}}}}\begin{cases}\leadsto \bf{A\: irrational\:number\:\sqrt{3.8}} \end{cases}$

${\huge{\red{\sf{To\:Represent}}}}\begin{cases}\leadsto \bf{\sqrt{3.8}\:on\:the\:number\:line}\end{cases}$

$\huge\red{\underline{\bf{\green{Answer}}}}$

${\underline{\red{\sf{\longmapsto Steps\:of\: construction}}}}$

$\sf{\pink{Step\:1}\:\:\purple{Draw\:a\:line\:and\:mark\:A\:on\:it}}$

$\sf{\pink{Step2}\:\:\purple{Mark\:a\:point\:B\:such\:that\:AB=3.8u.}}$

$\sf{\pink{Step3}\:\:\purple{Produce\:B\:to\:C\:such\:that\:BC=1u.}}$

$\sf{\pink{Step4}\:\:\purple{Draw\: perpendicular\: bisector\:of\:AC.}}$

$\sf{\pink{Step5}\:\:\purple{Mark\:the\: midpoint\:as\:O.}}$

$\sf{\pink{Step6}\:\:\purple{Taking\:O\:as\:center\:and\:OC\:as\:radius\:draw\:an\:semicircle.}}$

$\sf{\pink{Step7}\:\:\purple{On\:B\:draw\:a\: perpendicular.}}$

$\sf{\pink{Step8}\:\:\purple{Taking\:BD\:as\:radius\:cut\:an\:arc\:on\:the\: number\:line.}}$

${\underline{\underline{\bf{\orange{\leadsto Hence \:BE\: represents\:\sqrt{3.8}}}}}}$

Answer 2

$\bf \green{answer}$