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Popular >

simplify (sqrt(-9))(-7sqrt(-100))

Solution

simplify

(- 9) (- 7 - 100)

Solution

210

Solution steps

(- 9) (- 7 - 100)

(- 9) (- 7 - 100) = - - 9 (7 - 100)

= - - 9 \cdot 7 - 100

- 100 = 2 - 25

= - - 9 \cdot 7 \cdot 2 - 25

Multiply the numbers:

7 \cdot 2 = 14

= - - 9 \cdot 14 - 25

= - 14 - 9 - 25

- 9 = 3 i

= - 14 \cdot 3 i - 25

- 25 = 5 i

= - 14 \cdot 3 i 5 i

Multiply the numbers:

- 14 \cdot 3 \cdot 5 = - 210

= - 210 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 210 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 210 (- 1)

Multiply the numbers:

- 210 (- 1) = 210

= 210

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Frequently Asked Questions (FAQ)

What is (sqrt(-9))(-7sqrt(-100)) ?
The solution to (sqrt(-9))(-7sqrt(-100)) is 210