If i remember correctly K = 0 would be the correct answer.
Answer:
first one is rational, second is also rational, third is rational, fourth is rational, and fifth is irrational.
Step-by-step explanation:
Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. The reason why
is an irrational number is bc it's not a perfect square while
equals to 7 and is a perfect square.
Answer:
a,c,d
Step-by-step explanation:
![a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9](https://tex.z-dn.net/?f=a.%20%5C%5C4i%5E9%2B4i%5E7%5C%5C%3D4i%28i%5E2%29%5E4%2B4i%28i%5E2%29%5E3%5C%5C%3D4i%28-1%29%5E4%2B4i%28-1%29%5E3%5C%5C%3D4i-4i%5C%5C%3D0%5C%5Cb.%5C%5C2i%5E%7B18%7D-3i%5E%7B11%7D%5C%5C%3D2%28i%5E2%29%5E9-3i%28i%5E2%29%5E5%5C%5C%3D2%28-1%29%5E9-3i%28-1%29%5E5%5C%5C%3D-2%2B3i%5C%5Cc.%5C%5C7i%5E%7B36%7D-11i%5E%7B11%7D-11i%5E9%5C%5C%3D7%28i%5E2%29%5E%7B18%7D-11i%28i%5E2%29%5E5-11i%28i%5E2%29%5E4%5C%5C%3D7%28-1%29%5E%7B18%7D-11i%28-1%29%5E5-11i%28-1%29%5E4%5C%5C%3D7%2B11i-11i%5C%5C%3D7%5C%5Cd.%5C%5C8i%5E%7B22%7D-1%5C%5C%3D8%28i%5E2%29%5E%7B11%7D-1%5C%5C%3D8%28-1%29%5E%7B11%7D-1%5C%5C%3D-8-1%5C%5C%3D-9)
e.
![2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4](https://tex.z-dn.net/?f=2i%5E%7B27%7D%2B4%5C%5C%3D2i%28i%5E2%29%5E%7B13%7D%2B4%5C%5C%3D2i%28-1%29%5E%7B13%7D%2B4%5C%5C%3D-2i%2B4)