What is sqrt(-3)*sqrt(-2) ?

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

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simplify sqrt(-3)*sqrt(-2)

simplify

- 3 \cdot - 2

- 6

Decimal Notation

- 2.44948 \dots

Solution steps

- 3 - 2

- 3 = 3 i

= 3 i - 2

- 2 = 2 i

= 3 i 2 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 3 i^{2} 2

= 32 i^{2}

32 = 6

= 6 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 6 (- 1)

Apply rule:

a (- b) = - ab

6 (- 1) = - 6 \cdot 1

= - 6 \cdot 1

Apply rule:

a \cdot 1 = a

= - 6

6 (- 1)

\frac{( - 1 ) ^{n + 1}}{( - 1 ) ^{n}}

(2 x^{2} - 3) (2 x^{3} - 3 x^{2} + 4 x)

\frac{43}{2}