3 years ago

Show all work to multiply (2+√-25)(4-√-100)

Mathematics

1 answer:

ki77a [65]3 years ago

7 0

Answer:

Step-by-step explanation:

given the expression;

(2+√-25)(4-√-100)

Note that √-25 = √-1 * √25

√-100 = √-1 * √100

According to complex number, √-1 = i

√-25 = 5i

√-100 = 10i

The expression becomes

(2+5i)(4-10i)

Open the parentehsis;

= 2(4)-20i+20i-50i²

= 8-50i²

Since i² = -1

The expression becomes;

8-50i² = 8-50(-1)²

8-50i² = 8-50 = -42

Hence the product of the expression is -42

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