Question

How many non- square numbers lie between the squares of the following?
a) 35^2 and 36^2
b) 100^2 and 101^2

Answer 1

Answer:

180 non-square numbers lie between 90 and 91.

b) 100^2 and 101^2

Step-by-step explanation:

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Answer 2

Explanation

$\bf{a) \: {35}^{2} \: and \: {36}^{2} }$

$\sf{Between \:{35}^{2} \: and \: {36}^{2} }$

$\sf{here \: n =35}$

$\sf \implies\: n \times 2 = 35 \times 2 =70$

$\bf{Therefore}$

=> 70 non- square numbers lie between the squares of the following number 35² and 36²

Explanation

$\bf{b) {100}^{2} \: and \: {101}^{2} }$

$\sf{Between \: {100}^{2} \: and \: {101}^{2} }$

$\sf{here \: n = 100}$

$\sf \implies\: n \times 2 = 100 \times 2 = 200$

$\bf{Therefore}$

=> 200 non- square numbers lie between the squares of the following number 100²and 101²