Question

locate√10 on number line​

Answer 1

$\Huge {\boxed {\boxed {\color{skyblue}{★}{\mathbf {\color{navy}{Answer}{\color{skyblue}{★}}}}}}}$

$We \: can \: do \: it \: by \: using \: Pythagoras \: Theorem. \: \\ </p><p>We \: can \: write \:  10  \: as \: follows: \\</p><p>10 \: = \: 9 \: + \: 1 \: ⇒ \: 10 \: = \: 32 \: + \: 12   \\ </p><p>The \: construction \: steps \: are \: as \: follows: \: \\ </p><p>1. \: Take \: a \: line \: segment  \: AO=3  \: unit \: on \: the \:  x \: - \: axis.   \: (consider  \: 1  \: unit \: = \:  2  \: cm)    \: \\</p><p>2. \: Draw \: a \: perpendicular \: on  \: O \:  and \: draw \: a \: line \:  OC \: =1 \:  unit  \: \\ </p><p>3. \: Now \: join  \: AC \:  with \:  10.  \\ </p><p>4. \: Take  \: A  \: as \: center \: and \:  AC  \: as \: radius, \: draw \: an \: arc \: which \: cuts \: the \:  x-axis \: at \: point  \: E. \: \\ </p><p>5. \: The \: line \: segment  \: AC  \: in \: the \: below \: diagram \: represents  \: \sqrt{10}   \: units.  \\ </p><p></p><p>$