sqrt(4x2) = ± 2x
The absolute value of 7± 5i = sqrt(72 + 52) = sqrt(49 + 25) = sqrt(74) = 8.602, approx.
(sqrt(6)-sqrt(2))/4
(1+sqrt(3))/(2 sqrt(2))
Yes, but it involves the square root of -1. sqrt (-X) = sqrt (X) * sqrt(-1)
The absolute value is sqrt(72 + 12) = sqrt(49 + 1) = sqrt(50) or 5*sqrt(2) = 7.071 approx.
sqrt(4x2) = ± 2x
1
-2
The absolute value of 7± 5i = sqrt(72 + 52) = sqrt(49 + 25) = sqrt(74) = 8.602, approx.
-i/sqrt(2) -i/sqrt(2)
(sqrt(6)-sqrt(2))/4
Whether or not the expression can be simplified depends on the value of a. In general, sqrt(2a) = sqrt(2)*sqrt(a).
(1+sqrt(3))/(2 sqrt(2))
Yes, but it involves the square root of -1. sqrt (-X) = sqrt (X) * sqrt(-1)
4
|5 + 12i| = +sqrt(52 + 122) = +sqrt(25 + 144) = +sqrt(169) = 13