Find consecutive integers

Question

Find consecutive integers m and n, such that the given number is between m and n, or state that the given number is not a real number. 

 

 

√200

Answer 1

Hi Rachel,

 

there a number of ways to solve this problem

 

you can square numbers until you find two consecutive numbers where one squared is less than 200 and the next one is greater than 200

 

another way is to find the answer to sqrt(200)

 

sqrt(200) = sqrt(100)*sqrt(20

 

10 * 1,414214

 

=14.142

 

so

 

the two numbers we are looking for have to be less than 14.142 and greater than 14.142

 

and they would be 14 and 15

 

Hope this helps