What is sqrt(-3)*sqrt(-75) ?

The solution to sqrt(-3)*sqrt(-75) is -15

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simplify sqrt(-3)*sqrt(-75)

simplify

- 3 \cdot - 75

- 15

Solution steps

- 3 - 75

- 3 = 3 i

= 3 i - 75

- 75 = 3 \cdot 5 i

= 3 i 3 \cdot 5 i

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 3 i 5 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 3 i^{2} \cdot 5

= 3 \cdot 5 i^{2}

Multiply the numbers:

3 \cdot 5 = 15

= 15 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 15 (- 1)

Multiply the numbers:

15 (- 1) = - 15

= - 15

\frac{1}{2} (1 + x) < \frac{1}{3} (1 - x)

3 x^{2} + 10 x - 12 = 0

2 x^{3} - 2 x^{2} - 4 x

7 x^{2} - 10 x - 8

45 z^{2} - 20 z^{4}