Represent $\sqrt{5}$ on the number line.

Given :

The given number is $\sqrt{5}$.

To do :

We have to represent $\sqrt{5}$ on the number line.

Solution :

To solve this question, we should use the Pythagoras theorem.

$Hypotenuse^2 = Base^2 + Height^2$

• Now first draw a number line and mark '0', '1', and '2'.
• With 1 unit as length draw a line from '2'  such that it is perpendicular to the line.
• Now join the point (0) and the end of a new line of 1 unit length.
• A right-angled triangle is constructed.
• Now let us name the triangle as ABC such that BC is the height (perpendicular), AB is the base of the triangle and AC is the hypotenuse of the right-angled triangle ABC.

You know, $AC^2 = 2^2 + 1^2$

                    $AC^2 = 4+1 = 5$

                    $AC = \sqrt{5}$

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Updated on: 10-Oct-2022

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