Question

What is the modulus of 6 + 7i?

Answer 1

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 $|6+7i|=\sqrt{85}$

Answer 2

$\sqrt{6^2+7^2}=\sqrt{85}$