Question

there are dash non perfect sqaure numbers between squares of 145 and 146??

Answer 1

Step-by-step explanation:

Given:-

The numbers are 145² and 146²

To find :-

Find the the number of non perfect square numbers?

Solution :-

Method-1:-

Given numbers are 145² and 146²

We know that

The number of non perfect square numbers between n² and (n+1)² is 2n

Let n = 145 and n+1 = 145+1 = 146

The number of non perfect square numbers between 145² and 146²

=> 2×145

=> 290

Method -2:-

Given numbers are 145² and 146²

145² = 21025

146² = 21316

The numbers between 21025 and 21316

=> 21316-21025-1

=> 291-1

=> 290

Answer:-

The number of non perfect square numbers between 145² and 146² = 290

Used formulae:-

• The number of non perfect square numbers between n² and (n+1)² is 2n
• The number of numbers between two numbers m and n is m-n-1
• Excluding m and n
• Ex:- The number of numbers between 1 and 10 = 10-1-1 = 8
• (2,3,4,5,6,7,8,9 total numbers = 8)