\
"Recall that the definition of the absolute value of a "
"complex number," \ a + bi \ \ "is:"
\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad | a + bi | \ = \ \sqrt{ a^2 + b^2 }.
"So, we have now:"
\qquad \qquad \qquad | 7 + 7i | \ = \ \sqrt{ 7^2 + 7^2 } \ = \ \sqrt{ 2 \cdot 7^2 } \ = \ 7 \sqrt{ 2 }.
\
"Thus:"
\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ | 7 + 7i | \ = \ 7 \sqrt{ 2 }.