Example 1
The Square Root of 121 = 11. (11 times 11=121)
Example 2
The Square Root of 120 = 10.95 or 2 Square Root 30. (10 times 12, 10 breaks down to 5 times 2, and 12 breaks down to 6 times 2. 6 then breaks down to 3 times 2).
Example 1
The square root of 2 times the square root of 8 = the square root of 16, which is 4.
Example 2
The square root of 4 over 3 can't be simplified.
You have to nationalize the denominator and then simplify, like so:
The square root of 4 over the square root of 3 times the square root of 3 over the square root of 3 = the square root of 2 over the square root of 3 times the square root of 3 over the square root of 3, which equals 2 square root 3 over the square root of 3, whcihc then cancels out to be just 2.