Radicals
Simplify √(75)
5√(3)
Simplify (3+4i) + (7-2i)
10+2i
(2x2-5x+3)+(x2+7x-8)
3x2+2x-5
x2-7x+12
(x-3)(x-4)
2x2+7x+3
(2x+1)(x+3)
√(-48)
4i√(3)
(5-6i)-(8-2i)
-3-4i
(x-6)(x+4)
x2+2x-5
x2+3x-40
(x+8)(x-5)
3x2-10x+8
(3x-4)(x-2)
3√(18x5)
9x2√(2x)
i26
-1
(4x2-3x+1)-2(2x2-5x-7)
8x2+7x+15
x2-11x-12
(x-12)(x+1)
5x2+13x-6
(5x-2)(x+3)
√(-72x3)
6ix√(2x)
(2+3i)(4-i)
11+10i
(3x-4)(5+2x)
6x2+7x-20
2x2-14x-36
2(x-9)(x+2)
6x2-7x-5
(2x+1)(3x-5)
The speed of a falling object right before it hits the ground can be found using the formula V=√(64d), where d is the distance it fell in feet. If a ball is dropped from a height of 75 feet, substitute 75 for d and simplify the radical completely.
40√(3)
In an electrical engineering circuit, total impedance (Z) is calculated by multiplying the current (I) by the circuit's total resistance package (R). If the current is modeled by I=(7-4i) amps and the resistance package is R=(7+4i) ohms calculate the total impedance Z.
65 ohms
A rectangular photo measures 5 inches by 7 inches. You place a border around it that adds x inches to all four sides, making the new total dimensions (x + 5) and (x + 7). Multiply these binomials to find a simplified polynomial for the new total area.
x2+12x+35 square inches
The volume of a rectangular prism shipping box is represented by the polynomial V(x)=x3-4x2-12x. If the height of the box is known to be exactly x inches, find the simplified binomial expressions that represent the length and width of the box.
Width: (x-6) and Length: (x+2) height: x
A graphic designer is mapping out a rectangular digital billboard. The total area of the screen is represented by the expression (6x² - 11x - 10) square meters. Factor this expression completely to find the two binomials that represent the physical dimensions of the billboard.
(2x-5)(3x+2)