Question

how many non perfect squares lie between 13 square and 14 square thank you

Answer 1

Answer:

13²=169

14²=196

so,

non square numbers

=196-169

=27

so, there are 27 non square numbers between 13² and 14².

Answer 2

The number of non perfect squares lie between 13² and 14² is 26

Given :

The number 13² and 14²

To find :

The number of non perfect squares lie between 13² and 14²

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 2 :

Here the given numbers are 13² and 14²

13² = 169

14² = 196

The natural numbers lie between 13² and 14² are 170 , 171 , 172 , . . . , 195

This is an arithmetic progression

Step 2 of 2 :

Find the number of term

The numbers are 170 , 171 , 172 , . . . , 195

First term = a = 170

Common Difference = d = 171 - 170 = 1

Let 195 is the nth term of the AP

⇒ a + ( n - 1 )d = 195

⇒ 170 + ( n - 1 ) = 195

⇒ n + 169 = 195

⇒ n = 195 - 169

⇒ n = 26

The number of non perfect squares lie between 13² and 14² is 26

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