What is (4sqrt(-1))(5sqrt(-75)) ?

The solution to (4sqrt(-1))(5sqrt(-75)) is -100sqrt(3)

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simplify (4sqrt(-1))(5sqrt(-75))

simplify

(4 - 1) (5 - 75)

- 1003

Decimal Notation

- 173.20508 \dots

Solution steps

(4 - 1) (5 - 75)

Apply imaginary number rule:

- 1 = i

= 4 i 5 - 75

- 75 = 3 \cdot 5 i

= 4 i 53 \cdot 5 i

Multiply the numbers:

4 \cdot 5 \cdot 5 = 100

= 100 i 3 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 100 i^{2} 3

= 1003 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 1003 (- 1)

Multiply the numbers:

100 (- 1) = - 100

= - 1003

\frac{5}{2} + (- \frac{1}{2})

- 9 + f + 2 f

x^{3} \cdot \frac{1}{y}

∣ - 1 + i ∣

What is (4sqrt(-1))(5sqrt(-75)) ?
The solution to (4sqrt(-1))(5sqrt(-75)) is -100sqrt(3)