What is (7sqrt(-7))(10sqrt(-100)) ?

The solution to (7sqrt(-7))(10sqrt(-100)) is -700sqrt(7)

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simplify (7sqrt(-7))(10sqrt(-100))

simplify

(7 - 7) (10 - 100)

- 7007

Decimal Notation

- 1852.02591 \dots

Solution steps

(7 - 7) (10 - 100)

- 7 = 7 i

= 77 i 10 - 100

- 100 = 10 i

= 77 i 10 \cdot 10 i

Multiply the numbers:

7 \cdot 10 \cdot 10 = 700

= 7007 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 7007 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 7007 (- 1)

Multiply the numbers:

700 (- 1) = - 700

= - 7007

\frac{9}{4} - \frac{5}{10}

\frac{10}{( - 2 )}

- 6 x^{2} - 1 + x + 9

(x + 4) (x + 9)

4000000

What is (7sqrt(-7))(10sqrt(-100)) ?
The solution to (7sqrt(-7))(10sqrt(-100)) is -700sqrt(7)