Question

how can we represent √2 on number line​

Answer 1

Answer:

Know the decimal value of √2 which is = 1.414

Now represent it between 1 and 2 and mark it as √2

Please mark as brainliest

Answer 2

To Represent

• √2 on the number line

Solution:

★ Let's consider Pythagoras Theorem in ∆ABC for representation of √2 ★

$\small\implies{\sf }$ Pythagoras Theorem = H² = P² + B²

$\small\implies{\sf }$ Hypotenuse = √Perpendicular² + Base²

$\small\implies{\sf }$ Hypotenuse = √1²+1²

$\small\implies{\sf }$ Hypotenuse = √2

★ Point P represent √2 ★

__________________________________

★ Steps of Construction ★

• Step 1 : Draw a number Line and mark the center point 0

• Step 2 : Mark right side of the O as (+ve) and Left side as (-ve)

• Step 3 : We will not consider (–1) for our purpose

• Step 4 : With same length as between 0 and 1, draw a line perpendicular to point (1), such that new line has a length of 1 unit.

• Step 5 : Join the point 0 and the end of new line

• Step 6 : Hence, A right angled triangle is constructed ( ∆ABC ) AB is perpendicular, BC is base and AC is Hypotenuse

• Step 6 : Now, We can find the measure of hypotenuse (AC) by applying pythagoras theorem to the ∆ ABC.

__________________________________