What is (-2sqrt(-49))(5sqrt(-100)) ?

The solution to (-2sqrt(-49))(5sqrt(-100)) is 700

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simplify (-2sqrt(-49))(5sqrt(-100))

simplify

(- 2 - 49) (5 - 100)

700

Solution steps

(- 2 - 49) (5 - 100)

Apply rule:

(- a) = - a

(- 2 - 49) = - 2 - 49

= - 2 - 49 \cdot 5 - 100

- 100 = 2 - 25

= - 2 - 49 \cdot 5 \cdot 2 - 25

Multiply the numbers:

- 2 \cdot 5 \cdot 2 = - 20

= - 20 - 49 - 25

- 49 = 7 i

= - 20 \cdot 7 i - 25

- 25 = 5 i

= - 20 \cdot 7 i 5 i

Multiply the numbers:

- 20 \cdot 7 \cdot 5 = - 700

= - 700 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 700 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 700 (- 1)

Multiply the numbers:

- 700 (- 1) = 700

= 700

2 (2 t + 3) - 6 (4 t - 4)

(q^{2})^{4}

\frac{x ^{2} + x - 2}{x ^{3} - x ^{2} + 2 x - 2}

(\frac{4}{5})^{2} + (\frac{3}{5})^{2}

100 - - 49 - 81 + - 36

What is (-2sqrt(-49))(5sqrt(-100)) ?
The solution to (-2sqrt(-49))(5sqrt(-100)) is 700