Question

5. Represent √2 on the number line​

Answer 1

Answer:

This is how to represent square root 2 on the number line hope it helped you

Answer 2

To Represent :

√2 on the number line.

Solution :

Taking Number line.

Let,

• AB = 1 unit.
• AO = 1 unit.
• OB = x unit.

We have Pythagoras theorem,

$\tt\dagger \: \: \: \: \: { H }^{2} = {P }^{2} +{ B }^{2} .$

$\tt\longmapsto {OB }^{2} ={ AB }^{2} +{ OA }^{2}$

$\tt\longmapsto {x }^{2} = 1 + 1$

$\tt\longmapsto {x}^{2} = 2.$

$\tt\longmapsto x = \sqrt{2} .$

$\rule{70}1$

Note : Diagram provide in attachment.

Therefore, the value of x be √2 which is represent in the line.