What is (sqrt(-25))(sqrt(-36)) ?

The solution to (sqrt(-25))(sqrt(-36)) is -30

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simplify (sqrt(-25))(sqrt(-36))

simplify

(- 25) (- 36)

- 30

Solution steps

(- 25) (- 36)

(- 25) (- 36) = - 25 - 36

= - 25 - 36

- 36 = 2 - 9

= - 25 \cdot 2 - 9

- 25 = 5 i

= 5 i 2 - 9

- 9 = 3 i

= 5 i 2 \cdot 3 i

Multiply the numbers:

5 \cdot 2 \cdot 3 = 30

= 30 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 30 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 30 (- 1)

Multiply the numbers:

30 (- 1) = - 30

= - 30

- 6 = a (5 - 2)^{2} - 3

5 a^{2} - 3 a - 2

- \frac{3}{2} (2)^{- 1}

ab + 10 a + 2 b + 20

a^{2} - a - 72 = 0