What is sqrt(-3)sqrt(-5) ?

The solution to sqrt(-3)sqrt(-5) is -sqrt(15)

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simplify sqrt(-3)sqrt(-5)

simplify

- 3 - 5

- 15

Solution steps

- 3 - 5

- 3 = 3 i

= 3 i - 5

- 5 = 5 i

= 3 i 5 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 3 i^{2} 5

= 35 i^{2}

35 = 15

= 15 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 15 (- 1)

Apply rule:

a (- b) = - ab

15 (- 1) = - 15 \cdot 1

= - 15 \cdot 1

Apply rule:

a \cdot 1 = a

= - 15

(- 4 + 2 i)^{2}

\frac{1}{3} \div \frac{5}{9}

\frac{13 π}{6} - 2 π

u u

- \frac{75}{4}