Respuesta :

the answer too your question is 65 it is equal to the square root of 65

Answer:

The absolute value of 4+7i is equal to [tex]\sqrt{4^{2}+7^{2}}[/tex].

The absolute value of the 4+7i be [tex]\sqrt{65}[/tex].

Step-by-step explanation:

The absolute value is given by .

|a + bi| = [tex]\sqrt{a^{2}+b^{2}}[/tex]

Now find the absolute value of the 4+7i.

|4+ 7i|= [tex]\sqrt{4^{2}+7^{2}}[/tex]

|4+ 7i| = [tex]\sqrt{16+49}[/tex]      

|4+ 7i| = [tex]\sqrt{65}[/tex]  

Therefore the absolute value of the 4+7i is [tex]\sqrt{65}[/tex] .