2007-05-30 06:12:17 · 5 answers · asked by queens_boss 1 in Science & Mathematics ➔ Mathematics
sqrt(a) * sqrt(b) = sqrt(a*b)
2007-05-30 06:15:44 · answer #1 · answered by Keith P 7 · 0⤊ 0⤋
Just multiply the numbers within the radicals.
2007-05-30 06:17:14 · answer #2 · answered by It Does Exist 3 · 0⤊ 0⤋
You just do, as if they were any type of variable, with one caveat, namely i^2 = -1 and i^4 = 1
For example, 2i * 3i = 6i^2 or -6.
2i^2 * 3i = 6i^3 or -6i
When multiplying complex radicals, work them like quadratic equations.
(2 + 2i)(3 + i) =
6 + 2i + 6i + 2i^2 =
6 + 8i + 2i^2 =
6 + 8i - 2 =
4 + 8i =
4(1 + 2i)
2007-05-30 06:20:04 · answer #3 · answered by TychaBrahe 7 · 0⤊ 0⤋
The product of square roots is the square root of the product.
2007-05-30 06:16:40 · answer #4 · answered by ? 6 · 0⤊ 0⤋
sqrt(x)*sqrt(y) = sqrt(x*y)
Examples:
sqrt(9)*sqrt(4) = sqrt(9*4) = sqrt(36) = 6
sqrt(3x^2)*sqrt(12x^6) = sqrt(36x^8) = 6x^4
sqrt(75) = sqrt(25*3) = sqrt(25)*sqrt(3) = 5*sqrt(3)
2007-05-30 06:27:07 · answer #5 · answered by ironduke8159 7 · 0⤊ 0⤋