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 - 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

x^{2} - x - 110

4 - \frac{1}{5}

- x^{2} + 2 x = 0

\frac{1}{2.5 \cdot 1 0 ^{9}}

- x^{2} + 5 x + 6