Question

a digit is inserted between the digits of a two digit perfect square number to form another perfect sqaure number. find the three digit number formed in this way?

Answer 1

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Step-by-step explanation:

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Answer 2

Given : a digit is inserted between the digits of a two digit perfect square number to form another perfect square number.

To Find : three digit number formed

Solution:

2 digits prefect squares are

16 , 25 , 36 , 49 , 64 , 81

16            196    

    ( as square ending with 6 can be square of a number ending with 4 or 6 )

6²  = 36 14² = 196 , 16²=256

25           225

( as square ending with 6can be square of a number ending with 5  )

5² = 25  , 15² = 225 25² = 625

36  

  ( as square ending with 6 can be square of a number ending with 4 or 6 )

16²=256  , 24² = 576

 

49

( as square ending with 9 can be square of a number ending with 3 or 7 )

17² = 289  ,  23² =  529

64          

( as square ending with 4  can be square of a number ending with 2 or 8)

22² = 484 , 28² =  784

81            841

( as square ending with 4  can be square of a number ending with 1 or 9)

21² = 441  , 29² = 841  , 31²  = 961

196  , 225  and 841  are    three digit number formed  

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