WARNING:
JavaScript is turned OFF. None of the links on this concept map will
work until it is reactivated.
If you need help turning JavaScript On, click here.
This Concept Map, created with IHMC CmapTools, has information related to: Complex Numbers, i is equal to <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msqrt> <mtext> -1 </mtext> </msqrt> </mrow> </math>, Complex Numbers have a standard form, a + bi such as 3i, -1 such as <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> 3 </mtext> <mmultiscripts> <mtext> i </mtext> <none/> <mtext> 3 </mtext> </mmultiscripts> </mrow> </math>, Complex Numbers meaning i, a + bi such as 4 + 2i, a + bi such as 4.06, Complex Numbers are encountered often in solutions of quadratic equations, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msqrt> <mtext> -3 </mtext> </msqrt> </mrow> </math> simplifies to <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msqrt> <mtext> 3 </mtext> </msqrt> <mtext> i </mtext> </mrow> </math>, two i equals -1, standard form is a + bi, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> 3 </mtext> <mmultiscripts> <mtext> i </mtext> <none/> <mtext> 3 </mtext> </mmultiscripts> </mrow> </math> simplifies to 3i(ii), i so two i, Complex Numbers are used to simplify radicals that have a negative number under the radical sign, a + bi such as <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mfrac> <msqrt> <mtext> 13 </mtext> </msqrt> <mtext> 5.6 </mtext> </mfrac> <mtext> + </mtext> <msqrt> <mtext> 2 </mtext> </msqrt> <mtext> i </mtext> </mrow> </math>, 3i(-1) equals -3i, 3i(ii) equals 3i(-1), <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msqrt> <mtext> -1 </mtext> </msqrt> </mrow> </math> so two i, a + bi such as <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> 3.01 - </mtext> <mfrac> <msqrt> <mtext> 2 </mtext> </msqrt> <mtext> 3 </mtext> </mfrac> <mtext> i </mtext> </mrow> </math>, -1 such as <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msqrt> <mtext> -3 </mtext> </msqrt> </mrow> </math>