square root of (x2 + 1) = no simplification (square root of x2) + 1 = x + 1
sqrt(1) + sqrt(1) + sqrt(64) = +/- 1 +/- 1 +/- 8 positive square root is 10 negative square root is -10 By permutating the +/- it could also be +8, -8 ,
x2 - 6x + 1 = 0 x = [-(-6) +&- square root of [(-6)2 - 4(1)(1)]]/2(1) x = (6 +&- square root of 32)/2 x = [6 +&- 4(square root of 2)]/2 x = 3 +&- 2(square root of 2) x = 3 + 2(square root of 2) or x = 3 - 2(square root of 2) Check:
Yes, if x and y = 1 √1 + √1 = √1 + 1 1 + 1 = 1 + 1 QED
Square root of 3 is approximately 1.732. 1.732 + 1 =2.732
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.
√75 + √147 = 20.7846097
27i where i is the square root of -1.
x2+3i=0 so x2=-3i x=square root of (-3i)=square root (-3)square root (i) =i(square root(3)([1/(square root (2)](1+i) and i(square root(3)([-1/(square root (2)](1+i) You can multiply through by i if you want, but I left it since it shows you where the answer came from. Note: The square root of i is 1/square root 2(1+i) and -1/square root of 2 (1+i) to see this, try and square them!
the square root of 9 is 3 so 1 +3 = 4
Square root of 3=1 so 1+4=5
2.309401, rounded to the 6th decimal place.