What is (sqrt(-98))(sqrt(-2)) ?

The solution to (sqrt(-98))(sqrt(-2)) is -14

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simplify (sqrt(-98))(sqrt(-2))

simplify

(- 98) (- 2)

- 14

Solution steps

(- 98) (- 2)

(- 98) (- 2) = - 98 - 2

= - 98 - 2

- 98 = 2 \cdot 7 i

= 2 \cdot 7 i - 2

- 2 = 2 i

= 2 \cdot 7 i 2 i

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 \cdot 7 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 2 \cdot 7 i^{2}

Multiply the numbers:

2 \cdot 7 = 14

= 14 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 14 (- 1)

Multiply the numbers:

14 (- 1) = - 14

= - 14

\frac{( - 5 + h ) ^{2} - 25}{h}

(\frac{x + 2}{5})^{2}

\frac{3}{8} \cdot \frac{2}{5}

\frac{37}{8}

+ 5 - 2