square root of (x2 + 1) = no simplification
(square root of x2) + 1 = x + 1
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The square root of -1 is usually marked as undefined. however if you would like to go through or past Algebra 2 then the answer would be i, or imaginary. There is no definite answer in the realm of real numbers so the answer comes to be imaginary. So if you see a t-shirt, or flair button on facebook, that starts with the "square root of negative one" symbol followed by a heart - it symbolizes: "I Love...".i, an imaginary number.
Oh, dude, the square root of x plus the square root of y is just that - the square root of x plus the square root of y. It's like adding apples and oranges, you can't really simplify it further. So, like, that's your answer, no need to overcomplicate things, man.
27i where i is the square root of -1.
9x2 + 25 has no rational factors. Its factorisation in the complex domain is:(3x + 5i)*(3x - 5i) where i is the imaginary square root of -1.
The sum of two squares cannot be factored. It can be represented thus: X2 + y2 = (x + yi)(x - yi) In this expression, the i is the symbol for the imaginary number the square root of -1.