Respuesta :

Answer:

2

Step-by-step explanation:

(6 + square root of -64) - (square root of -16)

6 - 8 + 4

2

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

What is a complex number?

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.

The given expression can be written as,

[6 + √(-64)] [3 - √-16]

= (6 + 8i)(3 - 4i)

= 18 - 24i + 24i - 32i²

= 18 - 32(-1)

= 18 + 32

= 50

Hence, The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.

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