isaiahmiller4956
isaiahmiller4956 isaiahmiller4956
  • 12-10-2020
  • Mathematics
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Find the modulus of 15+36i

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elcharly64
elcharly64 elcharly64
  • 13-10-2020

Answer:

The modulus is 39

Step-by-step explanation:

Modulus of a complex number

The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:

[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]

The given complex number is z = 15 + 36i

Calculating the modulus:

[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]

[tex]|z|=\sqrt {225+1296}[/tex]

[tex]\boxed{|z|=\sqrt {1521}}[/tex]

|z|=39

The modulus is 39

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