Question

write 4 irrational numbers between 0.1010010001......and 3.030030003

Answer 1

nswer:

Please see below.

Explanation:

Powers of 2 are 2,4,8,16,32

and powers of 3 are 3,9,27,81,243

Hence √7, 3√17, 4√54 and 5√178 are all irrational numbers between 2 and 3,

as 4<7<9; 8<17<27; 16<54<81 and 32<178<243.

For other ways of finding such numbers see What are three numbers between 0.33 and 0.34.

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Answer 2

2.020020002,2.121121112,2.323323332and2424424442