Question

The modulus of 5 + 4i is

1 point

(a) 41

(b) -41

(c) √41

(d) -√41​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The modulus of 5 + 4i is

(a) 41

(b) - 41

(c) √41

(d) - √41

EVALUATION

We know that for any complex number z = a + ib the modulus of z is denoted by | z | as defined as

$\sf{ |z| = \sqrt{ {a}^{2} + {b}^{2} } }$

Here the given complex number is 5 + 4i

Hence the required modulus

$\sf{ = |5 + 4i| }$

$\sf{ = \sqrt{ {5}^{2} + {4}^{2} } }$

$\sf{ = \sqrt{ 25 + 16 } }$

$\sf{ = \sqrt{ 41 } }$

FINAL ANSWER

Hence the correct option is (c) √41

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Answer 2

Answer:

$\sqrt{41$ is the answer.

Step-by-step explanation:

• square the numbers

$\sqrt{5^{2} + 4^{2} * i^{2} } \\\sqrt{25+16*1} \\\sqrt{41}$

Hope it helps :)