+29 Calculate;
1+3i / 1-3i ,
|7±7i| ,
√4(1+ i) ,
^4√4(1-i),
And write the result in the standardform Re z+i in z
+23246 To simplify (1 + 3i) / (1 - 3i) multiply both the numerator and the denominator by the conjugate of the denominator.
The conjugate of 1 - 3i is 1 + 3i.
So, you need to simplify: [ (1 + 3i)(1 + 3i) ] / [ (1 - 3i)(1 + 3i) ] Use FOIL.
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The absolute value of a complex number is the distance that the point, when graphed is from the origin.
Label the point x + yi and use the Pytharoean Theorem: r² = x² + y²
When x = 7 and y = 7, what is the value of r?
When x = 7 and y = -7, what is the value of r?
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By √4(1 + i), do you mean 2(1 + i)? If so, use the distributive law.
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By "^4√4", do you mean the fourth root of 4? 4^(1/4) = (2^2)^(1/4) = 2^(1/2) = √2.
√2(1 - i) = √2 - √2i
+23246 To simplify (1 + 3i) / (1 - 3i) multiply both the numerator and the denominator by the conjugate of the denominator.
The conjugate of 1 - 3i is 1 + 3i.
So, you need to simplify: [ (1 + 3i)(1 + 3i) ] / [ (1 - 3i)(1 + 3i) ] Use FOIL.
-----------------------------------
The absolute value of a complex number is the distance that the point, when graphed is from the origin.
Label the point x + yi and use the Pytharoean Theorem: r² = x² + y²
When x = 7 and y = 7, what is the value of r?
When x = 7 and y = -7, what is the value of r?
-----------------------------------
By √4(1 + i), do you mean 2(1 + i)? If so, use the distributive law.
-----------------------------------
By "^4√4", do you mean the fourth root of 4? 4^(1/4) = (2^2)^(1/4) = 2^(1/2) = √2.
√2(1 - i) = √2 - √2i
