represent following irrational numbers on number line ✓2✓3✓4✓5✓8
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represent √5 on the number line, let's consider an integer 5.
We can express 5 as the sum of squares of two numbers.
So, we have 5 = 2² + 1²
⇒ (√5)2 = 2² + 1²
The above equation follows the Pythagoras theorem with √5 as the hypotenuse, 2 and 1 as the other two sides of the right triangle respectively.
This shows that we need to construct a right triangle with sides 2 and 1 units so that the hypotenuse becomes √5 units on the number line.
We shall proceed as follows.
Step-by-step explanation:
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