The modulus of $(1 + i) (3 + 4 i) =$

\sqrt{50}

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\sqrt{25}

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10

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10 \sqrt{2}

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Solution

The correct option is A $\sqrt{50}$
$z_{1}, z_{2}$ being two complex numbers,
$| z_{1} . z_{2} | = | z_{1} | . | z_{2} |$
$∴ | (1 + i) (3 + 4 i) |$ $= | 1 + i | \cdot | 3 + 4 i |$
$= \sqrt{1^{2} + 1^{2}} \times \sqrt{3^{2} + 4^{2}}$
$= \sqrt{2} \sqrt{25}$
$= \sqrt{50}$

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