Math, asked by icseliterature, 1 day ago

represent following irrational numbers on number line ✓2✓3✓4✓5✓8​

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Answered by tiwaripoonam9032
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Answer:

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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