Question

Find 2 irrational no. Between 3 and 4

Answer 1

Answer:

The geometric mean[1] of any two positive numbers must be between those numbers. Since 4 is a perfect square and 3 is not, the geometric mean which is the square root of their product is irrational. So we conclude that 12−−√=23–√ is one irrational number between 3 and 4.

Also, the arithmetic mean[2] of any two numbers is between those two numbers. Since 23–√ is irrational while both 3 and 4 are rational, the arithmetic mean of 23–√ and 3 as well as the arithmetic mean of 23–√ and 4 are also irrational numbers between 3 and 4. So we get two more irrationals:

23√+32

23√+42

The order of these numbers is:

3<23√+32<23–√<23√+42<4

Gave thank's

Step-by-step explanation:

Answer 2

Solution:

3.101001000100001...,

3.510100100010001....,

are two irrational numbers

between 3 and 4.

/* we can write infinitly many irrational numbers between given two numbers. */

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