Simplify. (2x square root of 2x)(3square root of 5x)
2006-11-22 14:04:39 · 4 answers · asked by George F 1 in Science & Mathematics ➔ Mathematics
(2x sqrt(2x)) (3 sqrt(5x))
= (2x*3) (sqrt(2x*5x))
= (6x) (sqrt(10x^2))
= (6x) sqrt(x^2) sqrt(10)
= (6x)(x) sqrt(10)
= (6x^2) sqrt(10)
2006-11-22 14:06:11 · answer #1 · answered by MsMath 7 · 4⤊ 2⤋
x is multiply?
or is x = unknown?
suggest use * as multiply
(2)*(x)*(2x)^0.5*(3)*(5x)^0.5?=6(10)^0.5(x^2)
read as " 6 | square root 10 | x square "
(2)*(2x)^0.5*(3)*(5x)^0.5 = 6(10)^0.5(x)
read as " 6|square root10|x "
you can multiply numbers which have the same roots:
ie root2 * root3 = root (2*3) = root 6
2006-11-22 14:17:38 · answer #2 · answered by fred 1 · 1⤊ 0⤋
(2xsqrt(2x)) * (3sqrt(5x)) = 6xsqrt(10x^2) = 6x^2 * sqrt(10)
2006-11-22 16:10:47 · answer #3 · answered by Sherman81 6 · 1⤊ 1⤋
(2x*(2x)1/2)*(3(5x)1/2)
=(2x*3)(2x)1/2(5x)1/2
=6x(10x^2)1/2
=6x*x(10)1/2
=6x^2(10)1/2
2006-11-22 14:12:30 · answer #4 · answered by smith 3 · 2⤊ 0⤋