Modulus

Algebra Level 3

In the complex plane ,the horizontal axis is called the real axis and the vertical axis is called the imaginary axis. The complex number \(a\)+ \(bi\) graphed in the complex plane is comparable to the point \((a,b) \) graphed in the standard \((x,y)\) coordinate plane. The modulus of the complex number \(a\)+ \(bi\) is given by \(\sqrt{a^{2} + b^{2}}\). Which of the given complex numbers \(z_{1}\),\(z_{2}\),\(z_{3}\),\(z_{4}\) and \(z_{5}\) has the greatest modulus?

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