Question

Find 2 irrational no 1.12&1.13

Answer 1

Hi friend,

Given numbers,
1.12 and 1.13

1.12=112/100
1.13=113/100

Take square for both numbers,
12544/10000 and 12769/10000

Take square root on both sides,
√12544/10000 and√12769/10000

Now,write the numbers between √12544/10000 and√12769/10000

√12544/10000<√12545/10000<√12546/10000<√12547/10000<........................<√12769/10000

112/100<√12545/10000<√12546/10000<√12547/10000<..........<113/100

1.12<√12545/10000<√12546/10000<√12547/10000<..........<1.13

So,you can take any two numbers between these and that will be your answer.

So,the 2 irrational numbers between 1.12 and 1.13 are √12545/10000 and √12546/10000,etc

Hope it helps