simplify roots and square root functions -v81/144

Question

simplify roots and square root functions -√81/144

Answer 1

-√(81/144) = -√(9²/12²) = -9/12 = -3/4

Answer 2

Alright, with this type of problem, the first thing to remember is that when you have a fraction under a square root, you can change that to a square root over a square root.

 

So, for example:

 

√(a/b) = √(a)/√(b)

 

Therefore, with the example given, we can write it as:

 

-√(81/144) = -(√(81)/√(144))

 

√(81) = 9

√(144) = 12

 

Let's ignore the negative for the moment. It'll come back into the answer later. So, we have:

 

√(81)/√(144) = 9/12

 

To simplify this, we just need to find what we can divide into both the numerator and denominator. In this case, that number is 3.

 

(9/3)/(12/3)

9/3 = 3

12/3 = 4

 

(9/3)/(12/3) = 3/4

 

Now, we just need to add the negative symbol back to the front of the answer.

 

-(3/4)

 

So, after this, we can now say that:

 

-√(81/144) = -(3/4)