Is this equation true or false? Why? �ãa+�ãb=�ãa+b

Okay radicals are killing me. Please explain this to me

I don't know what your symbols are.

Sorry for whatever reasons my sq root symbols didn't paste here. The problem is sq rt a + sq rt b = sq rt a+b. I think this is true, but I'm not sure why.

I don't think it's right.

If a = 16 and b = 25, the sums of their square roots = 9

To determine whether the equation √a + √b = √(a + b) is true or false, we need to consider its validity.

One way to check the equation's validity is by squaring both sides of the equation and seeing if they are still equal.

First, let's square the left side:
(√a + √b)^2 = a + 2√ab + b

Now, let's square the right side:
(√(a + b))^2 = (a + b)

If the squared expressions are equal, then the original equation is valid.

Expanding the squared expressions:

For the left side:
a + 2√ab + b

For the right side:
a + b

Since we have a match on both sides, a + 2√ab + b is indeed equal to a + b. Thus, the equation √a + √b = √(a + b) is true.

In conclusion, the equation √a + √b = √(a + b) is true.