Answer:
[tex]|6+7i|=\sqrt{85}[/tex]
Step-by-step explanation:
Given : Complex Number [tex]6+7i[/tex]
To find : What is the modulus of number?
Solution :
The modulus is the absolute value of the complex number is given by
[tex]|a+ib|=\sqrt{a^2+b^2}[/tex]
On comparing with given number [tex]6+7i[/tex]
a=6 and b=7
Substituting in the formula we get,
[tex]|6+7i|=\sqrt{6^2+7^2}[/tex]
[tex]|6+7i|=\sqrt{36+49}[/tex]
[tex]|6+7i|=\sqrt{85}[/tex]
Therefore, The modulus of the complex number is [tex]|6+7i|=\sqrt{85}[/tex]
