Math, asked by 110030, 11 months ago

find two irrational numbers between root 23 and root 24 solve step by step

Answers

Answered by Pranav777
202
Heya,
root 23 = 4.79..........
root 24 = 4.89............
a = 4.808008000......
b = 4.87887888......

Hope it helps ✌️✌️

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Answered by ColinJacobus
74

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

\sqrt{23}=4.79583~.~.~.,\\\\\sqrt{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

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 . . ..

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