What is (2sqrt(-96))(5sqrt(-42)) ?

The solution to (2sqrt(-96))(5sqrt(-42)) is -240sqrt(7)

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simplify (2sqrt(-96))(5sqrt(-42))

simplify

(2 - 96) (5 - 42)

- 2407

Decimal Notation

- 634.98031 \dots

Solution steps

(2 - 96) (5 - 42)

2 - 96 = 86 i

= 86 i 5 - 42

- 42 = 42 i

= 86 i 542 i

Multiply the numbers:

8 \cdot 5 = 40

= 406 i 42 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 406 i^{2} 42

= 40642 i^{2}

42 = 67

= 40667 i^{2}

Apply radical rule:

a a = a, a \geq 0

66 = 6

= 40 \cdot 67 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 40 \cdot 67 (- 1)

Multiply the numbers:

40 \cdot 6 (- 1) = - 240

= - 2407

\frac{130}{3}

t^{2} \cdot 2 t

1 - - 28 + 144 + - 63

lo g_{10} (40) + lo g_{10} (25)

\frac{x ^{2} - 4}{x ^{2} + 6 x + 8} \cdot \frac{9 x + 36}{x - 8}

What is (2sqrt(-96))(5sqrt(-42)) ?
The solution to (2sqrt(-96))(5sqrt(-42)) is -240sqrt(7)