If $$Z_1=-6-4 i$$ and $$Z_2=8-3 i$$, then the value of $$Z_1+Z_2$$ is



<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>If $$Z_1=-6-4 i$$ and $$Z_2=8-3 i$$, then the value of $$Z_1+Z_2$$ is

</textarea>If <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>=</mo><mo>−</mo><mn>6</mn><mo>−</mo><mn>4</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_1=-6-4 i</annotation></semantics></math>Z​1​​=−6−4i and <math><semantics><mrow><msub><mi>Z</mi><mn>2</mn></msub><mo>=</mo><mn>8</mn><mo>−</mo><mn>3</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_2=8-3 i</annotation></semantics></math>Z​2​​=8−3i, then the value of <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>+</mo><msub><mi>Z</mi><mn>2</mn></msub></mrow><annotation encoding="application/x-tex">Z_1+Z_2</annotation></semantics></math>Z​1​​+Z​2​​ is
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Given that
$$z_1=-6-4 i, z_2=8-3$$
$$z_1+z_2 =(-6-4 i)+(8-3 i) =(-6+8)+i(-4-3)= 2-7 i$$

</textarea>Given that <math><semantics><mrow><msub><mi>z</mi><mn>1</mn></msub><mo>=</mo><mo>−</mo><mn>6</mn><mo>−</mo><mn>4</mn><mi>i</mi><mo separator="true">,</mo><msub><mi>z</mi><mn>2</mn></msub><mo>=</mo><mn>8</mn><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">z_1=-6-4 i, z_2=8-3</annotation></semantics></math>z​1​​=−6−4i,z​2​​=8−3 <math><semantics><mrow><msub><mi>z</mi><mn>1</mn></msub><mo>+</mo><msub><mi>z</mi><mn>2</mn></msub><mo>=</mo><mo>(</mo><mo>−</mo><mn>6</mn><mo>−</mo><mn>4</mn><mi>i</mi><mo>)</mo><mo>+</mo><mo>(</mo><mn>8</mn><mo>−</mo><mn>3</mn><mi>i</mi><mo>)</mo><mo>=</mo><mo>(</mo><mo>−</mo><mn>6</mn><mo>+</mo><mn>8</mn><mo>)</mo><mo>+</mo><mi>i</mi><mo>(</mo><mo>−</mo><mn>4</mn><mo>−</mo><mn>3</mn><mo>)</mo><mo>=</mo><mn>2</mn><mo>−</mo><mn>7</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">z_1+z_2 =(-6-4 i)+(8-3 i) =(-6+8)+i(-4-3)= 2-7 i</annotation></semantics></math>z​1​​+z​2​​=(−6−4i)+(8−3i)=(−6+8)+i(−4−3)=2−7i
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