Construct -17 using a number line

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Standard XII

Mathematics

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Construct √...

Question

Construct $\sqrt{17}$ using a number line

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Solution

We know that $\sqrt{16} = 4$ and $\sqrt{17} = \sqrt{4^{2} + 1^{2}}$
Mark point $A$ representing $4$ on number line .
Now construct $A B$ of unit length perpendicular to $O A$ .
Then taking $O$ as centre and $O B$ as radius.
Draw an arc intersecting number line at $C$ .
$C$ is represented as $\sqrt{17}$

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Construct √17 using a number line

We know that √16=4 and √17=√42+12Mark point A representing 4 on number line .Now construct AB of unit length perpendicular to OA .Then taking O as centre and OB as radius. Draw an arc intersecting number line at C .C is represented as √17

Construct $\sqrt{17}$ using a number line