Question

find 2 irrational number between root 23 and root 24​

Answer 1

Step-by-step explanation:

Answer: The answer is 4.818118111 . . . and 4.866868548 . . ..

Step-by-step explanation: We are given to find two irrational numbers between √23 and √24.

We know that

\begin{gathered}\sqrt{23}=4.79583~.~.~.,\\\\\sqrt{24}=4.89897~.~.~..\end{gathered}

23

=4.79583 . . .,

24

=4.89897 . . ..

An irrational number is one which have non-repeating and non-recurring digits after the decimal.

For example, the square roots of 23 and 24 as given above are irrational numbers.

So, two irrational numbers between them are given by

\begin{gathered}a=4.818118111~.~.~.,\\\\b=4.866868548~.~.~..\end{gathered}

a=4.818118111 . . .,

b=4.866868548 . . ..

Thus, the two irrational numbers between the square roots of 23 and 24 are 4.818118111 . . . and 4.866868548 . . ..