(50 POINTS AND BRAINLIEST) Show all work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of negative 100 end quantity

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Lorxis
The equation would be (3+√-16)(6-√-64)
A negative square root can not be a real number, meaning that we have to use the imaginary number.
(3+4i)(6-8i)
How to multiply imaginary numbers...
Treat this like an equation looking like (x-a)(y-b)
Use FOIL
(3+4i)(6-8i)
= 18-24i+24i-32i²
= 18-32i²    (i²= -1 because i= √-1)
= 18- (-32)
= 18 + 32
= 50

The value of the expression will be equal to 50.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Give that work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of negative 100 end quantity.

From the given data the expression will be written as:-

The equation would be (3+√-16)(6-√-64)

A negative square root can not be a real number, meaning that we have to use the imaginary number.

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

Treat this like an equation looking like (x-a)(y-b)

(3+4i)(6-8i) = 18-24i+24i-32i²

                 = 18-32i²    (i²= -1 because i= √-1)

                 = 18- (-32)

                 = 18 + 32

                 = 50

Therefore, the value of the expression will be equal to 50.

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