Question

What is the modulus of 6 + 7i?

Answer 1

`√(6^2+7^2)=√(85)`

Answer 2

`|6+7i|=√(85)`

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|=√(a^2+b^2)`

On comparing with given number
`6+7i`

a=6 and b=7

Substituting in the formula we get,

`|6+7i|=√(6^2+7^2)`

`|6+7i|=√(36+49)`

`|6+7i|=√(85)`

Therefore, The modulus of the complex number is
`|6+7i|=√(85)`