solve (√a+b) (√a-b)
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You don’t specify what this equals to, so I will assume 0, as is standard practice. So, we start with sqrt(a+b) - sqrt(a-b) = 0.
Add sqrt(a-b) to both sides, to get sqrt(a+b) = sqrt(a-b).
Because both sides are sqrts, to remove that element, square both sides. This will get you a + b = a - b.
Get all the terms on one side and combine; subtract a from both sides and add b to both sides. This will lead to 2b = 0.
Divide both sides by 2, to isolate b (2b/2 = b).
b = 0.
Substitute b into both equations; you now have sqrt(a+0) - sqrt(a-0). This simplifies to sqrt(a) - sqrt(a). As you can tell, the answer is 0.
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