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