Given the following complex number, find the following.
3√2 + 6i^87
a) Simplify the complex number to not include any large exponents.
b) Find the modulus.
any pointers would be appreicated
+36916 I will assume this is 6 (i^87)
rememeber this: i^2 = -1 i^3 = -i i^4 = 1
6 (i^87) = 6 (i^4)21 * i^3 = 6* 1* -i = -6i
3 sqrt 2 - 6i
modulus = sqrt of both parts squared and added
sqrt( (3 sqrt2)^2 + (-6i)^2)
sqrt( 18 + -36(-1) ) = sqrt 54
+36916 I will assume this is 6 (i^87)
rememeber this: i^2 = -1 i^3 = -i i^4 = 1
6 (i^87) = 6 (i^4)21 * i^3 = 6* 1* -i = -6i
3 sqrt 2 - 6i
modulus = sqrt of both parts squared and added
sqrt( (3 sqrt2)^2 + (-6i)^2)
sqrt( 18 + -36(-1) ) = sqrt 54
