Question

What is the sqaure root of 124

Answer 1

In this case, you just multiply the expression under the root that gave the greatest integer (as you pull the square root of that number). See how I did: 4 multiplied by 31, which gives 124 then pull out the square root of 4, because 31 can not be, because it is a prime number and root would be an irrational number.

$\sqrt{124}=\sqrt{4*31}=\sqrt{31}*\sqrt{4}=2\sqrt{31}=~11.14$

Answer 2

Hi, 

Think about your perfect squares: 1, 4, 9, 16, 25, etc. 

Therefore, do any of these perfect squares go into 124? Yes, 124 goes into 4, 31 times and therefore we can say: 

[ square root of 4 ] [ square root of 31 ] 

Now, the square root of 4 is a perfect square which can be simplified down to: 

2 square root of 31 <==== FINAL ANSWER