Question

What is the absolute value of 4+7i is equal to the square root of ______

Answer 1

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

Answer 2

The absolute value of 4+7i is equal to
`\sqrt{4^(2)+7^(2)}`.

The absolute value of the 4+7i be
`√(65)`.

Explanation:

The absolute value is given by .

|a + bi| =
`\sqrt{a^(2)+b^(2)}`

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

|4+ 7i|=
`\sqrt{4^(2)+7^(2)}`

|4+ 7i| =
`√(16+49)`

|4+ 7i| =
`√(65)`

Therefore the absolute value of the 4+7i is
`√(65)` .