Question

is 1+i14+i18+i22 a real number​

Answer 1

Answer:

1 + 14 +18+122 it's real number...... I hope it's help you dear.....

Answer 2

Answer:

-2

Step-by-step explanation:

Hi,

We know that i² = -1

i⁴ = 1

i¹⁴ can be written as i¹²⁺² = i¹²*i² = (i⁴)³*i²

= (1)³*i² = -1

i¹⁸ can be written as i¹⁶⁺² = i¹⁶*i² = (i⁴)⁴*i²

= (1)⁴*i² = -1

i²² can be written as i²⁰⁺² = i²⁰*i² = (i⁴)⁵*i²

= (1)⁵*i² = -1

So, (1 + i¹⁴ + i¹⁸ + i²²)

= ( 1 -1 -1 -1)

= -2 which is a real number

Hope, it helps !

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