What is sqrt(-3)sqrt(-21) ?

The solution to sqrt(-3)sqrt(-21) is -3sqrt(7)

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simplify sqrt(-3)sqrt(-21)

simplify

- 3 - 21

- 37

Decimal Notation

- 7.93725 \dots

Solution steps

- 3 - 21

- 3 = 3 i

= 3 i - 21

- 21 = 21 i

= 3 i 21 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 3 i^{2} 21

= 321 i^{2}

21 = 37

= 337 i^{2}

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 37 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 37 (- 1)

Multiply the numbers:

3 (- 1) = - 3

= - 37

\frac{3}{7} + \frac{2}{9}

\frac{24}{2 \frac{1}{2}}

(x + i y)^{2} (x - y i) - 2 i

⌈ 1.5 ⌉

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