Simplifying Radicals
Simplify: √36
6
Solve: √x = 5
5
What is the general shape of a square root function
Curve starting at 0,0 and increasing gradcually
What is √(a × b) equal to?
√a × √b
If the area of a square is 49 square meters, what is the length of one side?
7
Simplify: √50
5√2
Solve: √(x + 4) = 6
Identify the vertex of the graph: y = √(x - 3).
3,0
Simplify: √(16/25)
4/5
A ladder is leaning against a wall. The height of the wall is 12 ft, and the base is 5 ft away from the wall. What is the length of the ladder?
13
Simplify: ³√64
4
Solve: ³√(x - 8) = 3
35
What happens to the graph of y = √x when you add 5 to the equation (y = √x + 5)?
Graph shifts up by 5
True or False: √(x²) = x for all real numbers
False
A car travels √x miles in x hours. How far does it travel in 4 hours?
Simplify: √(81x²)
9x
Solve: √(2x + 1) = x
1
Graph y = √(x - 2) + 1. Where does the graph start?
2,1
What is the domain of y = √(x - 4)?
x ≥ 4
A swimming pool has a width of 10ft and is 26 feet diagonally across, what is the length?
24
Simplify: ³√(27x³y⁶)
3xy²
Solve: √(3x + 7) - 2 = 0
3
What transformation occurs in y = -√x compared to y = √x?
Reflects over x axis
√(x⁴).
x²
A mechanic uses a ramp to load cars onto a truck, the ramp is 15ft long and the top of the ramp is 9ft above the ground, what’s the horizontal distance from the bottom of the ramp to the truck?