What is (9sqrt(-10))(9sqrt(-8)) ?

The solution to (9sqrt(-10))(9sqrt(-8)) is -324sqrt(5)

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simplify (9sqrt(-10))(9sqrt(-8))

simplify

(9 - 10) (9 - 8)

- 3245

Decimal Notation

- 724.48602 \dots

Solution steps

(9 - 10) (9 - 8)

- 10 = 10 i

= 910 i 9 - 8

- 8 = 22 i

= 910 i 9 \cdot 22 i

Multiply the numbers:

9 \cdot 9 \cdot 2 = 162

= 16210 i 2 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 16210 i^{2} 2

= 162102 i^{2}

10 = 25

= 162252 i^{2}

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 162 \cdot 25 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 162 \cdot 25 (- 1)

Multiply the numbers:

162 \cdot 2 (- 1) = - 324

= - 3245

2 \times 1 0^{- 2}

2 \cdot π \cdot 5

\frac{9 \cdot 3 ^{4}}{( 3 ^{4} ) ^{5} \cdot 2 7 ^{2}}

6 y^{4} (- 7 x y)

(x^{3} + x^{2} + 1) (x^{2} - x - 5)

What is (9sqrt(-10))(9sqrt(-8)) ?
The solution to (9sqrt(-10))(9sqrt(-8)) is -324sqrt(5)