What is sqrt(-5)*sqrt(-10) ?

The solution to sqrt(-5)*sqrt(-10) is -5sqrt(2)

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simplify sqrt(-5)*sqrt(-10)

simplify

- 5 \cdot - 10

- 52

Decimal Notation

- 7.07106 \dots

Solution steps

- 5 - 10

- 5 = 5 i

= 5 i - 10

- 10 = 10 i

= 5 i 10 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 5 i^{2} 10

= 510 i^{2}

10 = 52

= 552 i^{2}

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 52 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 52 (- 1)

Multiply the numbers:

5 (- 1) = - 5

= - 52

- 4 + \frac{x}{5} < - 4

\frac{1}{2} \cdot 0 + 3

\frac{1}{i ^{3}}

\frac{1}{2} ∣ 3 - x ∣ + 11 = 4

\frac{∣ 237.4 - x ∣}{237.4} = 0.09