Answer:
Option D :- ![\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2018%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%20%20%20%5Csqrt%5B3%5D%7B3%20%7Bxy%7D%5E%7B2%7D%20%7D)
Step-by-step explanation:
![\sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B648%20%20%7Bx%7D%5E%7B4%7D%20%20%7By%7D%5E%7B8%7D%20%7D)
transform the equation
![\rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%20%20%5Ctimes%20%20%7B3x%7D%5E%7B2%7D%20%20%20%5Ctimes%20%20%20%7Bxy%7D%5E%7B6%7D%20%20%5Ctimes%20%20%7By%7D%5E%7B2%7D%20%7D)
rewrite the expression
![\rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%7D%20%20%5Ctimes%5Csqrt%5B3%5D%7B%20%20%7B3x%7D%5E%7B2%7D%7D%20%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7Bxy%7D%5E%7B6%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B%7By%7D%5E%7B2%7D%20%7D)
Simplify the radical expression
![\rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%20%7B6xy%7D%5E%7B2%7D%20%5Csqrt%5B3%5D%7B3xy%20%7B%7D%5E%7B2%7D%20%7D)
Multiply
![\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2018%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%20%20%20%5Csqrt%5B3%5D%7B3%20%7Bxy%7D%5E%7B2%7D%20%7D)
Answer:
square root of 1
Step-by-step explanation:
Try it.
F( x ) = ( x - 1 ) ( x + 2i )( x - 2i ), because the zeroes are 1, -2i, +2i ;
f( x ) = ( x - 1 )( x^2 - 4i^2 ) = ( x - 1 )( x^2 + 4 ) = x^3 - x^2 + 4x - 4 ;
Answer:
.5 pounds
Step-by-step explanation:
3 divided by 6 is .5
X + 19 + 7x + 9 = 180
8x + 28 = 180
8x = 180 - 28
8x = 152
X = 152 : 8
X = 19