Write the complex number \frac{2+5i}{5+2i} in standard form?

Cameron Russell

Cameron Russell

Answered question

2022-01-30

Write the complex number 2+5i5+2i in standard form?

Answer & Explanation

Armani Dyer

Armani Dyer

Beginner2022-01-31Added 10 answers

Step 1
This is a division of complex numbers. We need first to transform the denominator into a real number; We do that multiplying and dividing by the complex conjugade of the denominator (52i)
2+5i5+2i×52i52i
=104i+25i10i225+4
But i2=1
=10+21i+1029
=20+21i29
=2029+2129i
Which is in the form a+bi

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