Question

locate square root 2on number line​

Answer 1

Answer:

√2= 1.4 approx

Step-by-step explanation:

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Answer 2

Question :–

Locate √2 on number line.

Solution :–

For locating the √2 on number line, we consider the Pythagoras theorem.

$\boxed{\blue{ {hypotenuse}^{2} = {base}^{2} + {height}^{2}}}$

As we know that,

→ $1 + 1 = 2$

→ ${1}^{2} + {1}^{2} = 2$

→ $\sqrt{ {1}^{2} + {1}^{2} } = 2$

So,

$\implies {hypotenuse} = \sqrt{ {base}^{2} + {height}^{2} }$

$\implies h = \sqrt{ {1}^{2} + {1}^{2} }$

$\implies h = \sqrt{2}$

★ Number line is refer in the above attachment ★

point P is the √2.