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Question

Question: \(\sqrt{3} + 1\) =...

3+1\sqrt{3} + 1 =

A

3\sqrt{3}

B

2+3\sqrt{2} + \sqrt{3}

C

z1z_{1}

D

z2z_{2}

Answer

z1z_{1}

Explanation

Solution

R.H.S = (cos⁡θ2+isin⁡θ2)(\cos\theta_{2} + i\sin\theta_{2})

∴\therefore ∣z1+z2∣=[(r1cos⁡θ1+r2cos⁡θ2)2|z_{1} + z_{2}| = \lbrack(r_{1}\cos\theta_{1} + r_{2}\cos\theta_{2})^{2}

+(r2sin⁡θ1+r2sin⁡θ2)2]1/2+ (r_{2}\sin\theta_{1} + r_{2}\sin\theta_{2})^{2}\rbrack^{1/2}