Between which two whole numbers will you find the square root of 86

Question

bouns homwork question

 

 

Answer 1

Hi, Aczuan.  

 

To answer that question, we need to think of two perfect squares that are close to 86.  I like to use a "trial and error" strategy.  Let's see... 5² is 25... nope, way too small. Let's try 7²=49.  Still way too small.  How about 9²= 81.  That's a good start!  81 is close to 86.  It's just a little bit less than 86.  

 

Now let's find another perfect square that's close to, but bigger than 86.  How about 10²= 100?  That works.  

 

Since 86 is between 81 and 100, we know that the square root of 86 is between 9 and 10.  This is because 9 is the square root of 81 and 10 is the square root of 100.  

 

We can make sure we're right by getting a scientific calculator and typing in √86.  9.2736... yes, that's between 9 and 10.  

 

Hope that helps you!

 

Alix