Question

Find two irrational no. Between 2and 3

Answer 1

$\huge\red{\underline{{\boxed{\textbf{QUESTION}}}}}$

Find two irrational no. Between 2and 3

$\huge\red{\underline{{\boxed{\textbf{ANSWER}}}}}$

2=√ 4

3=√9

Now choose any two numbers between 4 and 9 that are not perfect squares. (say I choose 5 and 7)

Take square root.

You get 5–√ and 7–√. Note that 2<5<√7<√3

This method works because f(x)=x−−√ is monotonically increasing (which is quite easy to prove).

__________________

HARSH PRATAP SINGH

Answer 2

Answer:

So,some irrational numbers lying in between 2 & 3 are Sqrt(5), Sqrt(6), Sqrt(7) & Sqrt(8).

Step-by-step explanation:

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