Find the magnitude of the complex number ( z = 3 + 4i ).

Question

Accepted Answer

Step:1 ：The magnitude of a complex number ( z = a + bi ) is given by the formula ( |z| = sqrt{a^2 + b^2} ).Step:2 ：Substituting ( a = 3 ) and ( b = 4 ) into the formula, we get ( |z| = sqrt{3^2 + 4^2} ).Step:3 ：Solving the expression, we get ( |z| = sqrt{9 + 16} ).Step:4 ：Solving the expression, we get ( |z| = sqrt{25} ).

Answer

Step: 1 ：The magnitude of a complex number ( z = a + bi ) is given by the formula ( |z| = sqrt{a^2 + b^2} ).Step: 2 ：Substituting ( a = 3 ) and ( b = 4 ) into the formula, we get ( |z| = sqrt{3^2 + 4^2} ).Step: 3 ：Solving the expression, we get ( |z| = sqrt{9 + 16} ).Step: 4 ：Solving the expression, we get ( |z| = sqrt{25} ).

Find the magnitude of the complex number \( z = 3 + 4i \).

Answer

Popular Problems