Question

Maths Question :-

Show √5 on number line

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Answer 1

Things to know

According to the Pythagorean theorem, if we choose two sides as $1,2$, the square of the hypotenuse will be $5$.

$\rightarrow 1^2+2^2=5$

Now, the squared hypotenuse is $5$, so the hypotenuse will be $\sqrt{5}$.

Problem

Let's suppose we have to mark $\sqrt{5}$ on the number line.

Unfortunately, the ruler is not given. How are we going to mark $\sqrt{5}$ on a number line?

Solution

The answer is simple. We can make a triangle with the number line.

Step one. Let's fold the number line in order to make a right triangle. A right triangle with sides 1, 2 forms.

Step two. We know the hypotenuse is $\sqrt{5}$. It will be the radius of the circle.

Step three. Unfold the number line.

Step four. Let the center be the origin, and let's use a compass to mark it on the number line.

So, we're done!

Answer 2

Answer:

Hope these image will help you to understand the concept