these are two sepate problems, simplify each root....please help

Question

√__4x^2__

      9

The whole problem is under the square root.  So its 4x squared over 9...or divided by 9.

 

 

 

Second problem I need help with is 

    √36x^2

The whole problem is also under the square root sign...

Answer 1

You can approach this problem by separating each radical to evaluate it independently.

√(4x²/9)  can be separated and looked at as √(4)* √(x²)/ √(9). 

 

This will let you take the square roots of each portion easily to solve the equation.
√(4) =2; √(x²)= x;  √(9)=3. So simplifying the expression would mean that the answer is 2x/3

 

Similarly we would do the same thing for the second problem  √(36x²). Separating each part under the radical we get  √(36) * √(x²) so the final answer is 6x.

Answer 2

√((4X²)/9) = taking the root up and below we have:

2X/3

Second problem is exactly the same thing

√(36X²) = 6X

Answer 3

Hi Carlos, hope this helps!

 

1. √(4x²/9) = √(2*2*x*x/(3*3)) = 2x/3

 

2. √(36x²) = √(6*6*x*x) = 6x