Question

locate √5 on number lie​

Answer 1

Answer:

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Answer 2

$\huge\underline\red{Answer:}$

$\small\green{\underline \pink{Step \: 1:} \: On \: the \: number \: line, \: take \: 2 \: units}$

$\small\green{from \: O \: and \: represent \: the \: point \: as \: A.}$

$\small\green{\underline\pink{Step \: 2:} \: At \: point \: A, \: draw \: a \: perpendicular}$

$\small\green{and \: mark \: B \: such \: that \: AB \: = \: 1 unit.}$

$\small\green{\underline\pink{Step \: 3:} \: Now, \: with \: O \: as \: the \: center \: and \: OB}$

$\small\green{as \: radius, \: draw \: an \: arc \: to \: cut \: the \: number \: line \: at \: C.}$

$\small\green{\underline\pink{Step \: 4:} \: Point \: C \: represents \: √5 \: on \: the}$

$\small\green{number \: line.}$

$\small\green{In \: ∆OAB, using \: Pythagoras \: theorem,}$

$\small\green{we \: have,}$

$\: \: \small\green{OB² \: = \: OA² \: + \: AB²}$

$\: \: \: \: \: \: \: \: \: \: \: \: \small\green{= 2² + 1²}$

$\: \: \: \: \: \: \: \: \: \: \: \: \small\green{= 5}$

$\small\green{∴ OB = √5 units}$

$\small\green{Since, OB = OC = \sqrt{5} \: units,}$

$\small\green{therefore,point \: C \: represents \: \sqrt{5} \: on}$

$\small\green{the \: number \: line.}$

$\huge\underline\red{Explanation:}$

$\small\underline\green{Hope \: this \: answer \: will \: help \: you.}$

$\small\underline\green{Plz \: mark \: me \: as \: a \: Brainliest.}$