What is sqrt(-3)*sqrt(-8) ?

The solution to sqrt(-3)*sqrt(-8) is -2sqrt(6)

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simplify sqrt(-3)*sqrt(-8)

simplify

- 3 \cdot - 8

- 26

Decimal Notation

- 4.89897 \dots

Solution steps

- 3 - 8

- 8 = 2 - 2

= - 3 \cdot 2 - 2

- 3 = 3 i

= 3 i 2 - 2

- 2 = 2 i

= 3 i 22 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 3 i^{2} \cdot 22

= 232 i^{2}

32 = 6

= 26 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 26 (- 1)

Multiply the numbers:

2 (- 1) = - 2

= - 26

(4) (- 2)

(4) (- 3)

∣ 11 ∣

a (2 a^{2} - a - 4) - a (a - 3) 2 a

(a - bi) (c - d i)