Question

what is value of √i ?
$1$
$2$
$- 1$
$0$


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Answer 1

solution=>

• i is a complex number

• $i = \sqrt{ - 1} \\ \\ i {}^{2} = \sqrt{ - 1} \times \sqrt{ - 1} \\ \\ = - 1 \\ \\ i {}^{3} = i {}^{2} \times i \\ \\ = - 1 \times i \\ \\ = - i \\ \\ i {}^{4} = i {}^{2} \times i {}^{2} \\ \\ - 1 \times - 1 \\ \\ = 1$
• =========================

answer

-1 is correct✅✔answer

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relatives to iota

• i power= 4 factorise+1 value =i

• i power= 4 factorise+2 value =-1

• i power= 4 factorise+3 value =-i

• i power =4 factorise value =1

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$\huge\star\pink{i_hope_it_helps}$