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  • How many non square numbers lie between the following pairs of numbers (i) 100^2 and 101^2  (ii) 90^2 and 91^2  (iii) 1000^2 and 1001^2.

Q.2 How many non square numbers lie between the following pairs of numbers

(i) 100^{2}\; and\; 101^{2}

(ii) 90^{2}\; and\; 91^{2}

(iii) 1000^{2}\; and\; 1001^{2}

Answers (4)

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In general, we can say that there are 2n nonperfect square numbers between the squares of the numbers n and (n + 1). 

(i) The number of non-square numbers that lie between the square of 100 and 101 will be = 2(100)  = 200.

(ii) The number of non-square numbers that lie between the square of 90 and 91 will be = 2(90) = 180.

(iii) The number of non-square numbers that lie between the square of 1000 and 1001 will be = 2(1000) = 2000.

 

Posted by

Devendra Khairwa

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100 sq and 101 sq =200 non - square lies

90 sq and 91 sq =180 non - square lies 

1000 sq and 1001 sq = 2000 non - square lies

Posted by

Adheena

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200

Posted by

Ankit

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1. (10201-10000)-1

201-1

200

2. 8281-8100)-1

180

3. 1001001-1000000

1001

Posted by

Protyush Nandi

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