Question

state whether statement is true or false under root a+b = under root a + under root b

Answer 1

Hello friend

√(a+b) won't be equal to √a+√b

If it is √a×b then that will be equal to √a ×√b
Let me prove it using an example
√9+7=√16=4
If the statement is true then the answer which you get is
√9+7=√9+√7=3+√7=3+2.64(approx value of √7)=5.64
We aren't getting the same answer in both the cases, so the statement is not true

Answer 2

Under root a+b is not equal to under root a + under root b.
So the statement is false.
Take an example:
Under root 2+ under root 2=2root 2.
But under root 2+2=underroot4=2
Thus they are never the same.