The given expression is the absolute value (or modulus) of a complex number. The complex number is -5 - 4i.

The formula to find the absolute value (or modulus) of a complex number a + bi is √(a² + b²).

Here, a = -5 and b = -4.

Step 1: Square a and b.
a² = (-5)² = 25
b² = (-4)² = 16

Step 2: Add a² and b².
a² + b² = 25 + 16 = 41

Step 3: Take the square root of the result.
√(a² + b²) = √41

So, the exact value of ∣−5−4i∣ is √41.

Question

The given expression is the absolute value (or modulus) of a complex number. The complex number is -5 - 4i.

The formula to find the absolute value (or modulus) of a complex number a + bi is √(a² + b²).

Here, a = -5 and b = -4.

Step 1: Square a and b.
a² = (-5)² = 25
b² = (-4)² = 16

Step 2: Add a² and b².
a² + b² = 25 + 16 = 41

Step 3: Take the square root of the result.
√(a² + b²) = √41

So, the exact value of ∣−5−4i∣ is √41.

Knowee AI · Accepted Answer

The given expression is the absolute value (or modulus) of a complex number. The complex number is -5 - 4i.

The formula to find the absolute value (or modulus) of a complex number a + bi is √(a² + b²).

Here, a = -5 and b = -4.

Step 1: Square a and b.
a² = (-5)² = 25
b² = (-4)² = 16

Step 2: Add a² and b².
a² + b² = 25 + 16 = 41

Step 3: Take the square root of the result.
√(a² + b²) = √41

So, the exact value of ∣−5−4i∣ is √41.

Find the exact value of open vertical bar, minus, 5, minus, 4, i, close vertical bar∣−5−4i∣.