Question

If z=5+(3√2)i, then Z×Z is​

Answer 1

Answer:

$5+\left(3\sqrt{2}\right)\cdot \:5+\left(3\sqrt{2}\right)=5+18\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:30.45584\dots \right)$

Step-by-step explanation:

$5+\left(3\sqrt{2}\right)\cdot \:5+\left(3\sqrt{2}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=5+3\sqrt{2}\cdot \:5+3\sqrt{2}$

$\mathrm{Multiply\:the\:numbers:}\:3\cdot \:5=15$

$=5+15\sqrt{2}+3\sqrt{2}$

$\mathrm{Add\:similar\:elements:}\:15\sqrt{2}+3\sqrt{2}=18\sqrt{2}$

$=5+18\sqrt{2}$