Answer:
Step-by-step explanation:
[tex]\sqrt{-64}=-8+6= -2[/tex]
-2×3= -6
[tex]\sqrt{-16}[/tex]= -4
-6- -4= -2
Final answer is -2
The multiplication of the two given quantities (6 + √-64) and (3 - √-16) will be 50.
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 multiplication of the two given quantities (6 + √-64) and (3 - √-16) will be,
(6 + √-64)(3 - √-16)
= (6 + 8i)(3 - 4i)
= (6 × 3) + (6 × -4i) + (8i × 3) + (8i × -4i)
= 18 - 24i + 24i - 32i²
= 18 - 32(-1)
= 18 + 32
= 50
Hence, the multiplication of the two given quantities (6 + √-64) and (3 - √-16) will be 50.
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