Math, asked by rudra3526, 8 months ago

prove that (1+i)raise to 4 *[1+1/i]=16​

Answers

Answered by Anonymous
1

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ANSWER:-

Prove this statement by rewriting the left hand side:  

(1 + i)⁴(1 + 1 / i)⁴ = 16  

LHS = (1 + i)⁴(1 + 1 / i)⁴  

LHS = (1 + i)⁴(1 - i)⁴  

LHS = [(1 + i)(1 - i)]⁴  

LHS = 2⁴  

LHS = 16  

LHS = RHS  

Since both sides are equal the statement has been proven.

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