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

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

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

simplify

- 10 \cdot - 5

- 52

Decimal Notation

- 7.07106 \dots

Solution steps

- 10 - 5

- 10 = 10 i

= 10 i - 5

- 5 = 5 i

= 10 i 5 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 10 i^{2} 5

= 105 i^{2}

10 = 52

= 525 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^{4} y^{5} + x^{3} y^{2}

\frac{1}{16} + 1

10 x - 10 x

\frac{2}{9} \cdot \frac{1}{2}

\frac{7 + 8}{4 + 2}