Add the two complex numbers 6 + 7i and 10 + 2i

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✩ Step-by-step explanation:

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1.) :

✺ The modulus of a complex number is:

✺ The modulus of is:

2.) :

✺ The modulus of a complex number is:

✺ The modulus of is:

3.) :

✺ Combine the real and imaginary parts in :

✺ Do the additions in :

✺ Solve the complex modulus using the formula:

✺  The modulus of is:

             "ටᆼට"

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

b

step-by-step explanation: