How many non- square numbers are there between 169 and 196?
Answers
Step-by-step explanation:
27
All the numbers between 196 and 169 are the non-square numbers. 196 – 169 = 27.
The number of non- square natural numbers lie between 169 and 196 is 26
Given :
The numbers 169 and 196
To find :
The number of non- square natural numbers lie between 169 and 196
Solution :
Step 1 of 2 :
Write down the given numbers
The given numbers are 169 and 196
169 = 13²
196 = 14²
Step 2 of 2 :
Find number of non- square natural numbers lie between 169 and 196
Here the given numbers are 13² and 14²
The natural numbers lie between 169 square and 196 are 170 , 171 , 172 , ... , 195
This is an arithmetic progression
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- square natural numbers lie between 169 and 196 is 26
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