Algebra II Q3 Unit 1: Radical Operations and Equations

2

If y is a positive integer, for how many values of y is (this) a whole number? {If y is a positive integer, for how many values of y is the cube root of 144/y a whole number?}

(sqrt6)mi

Pam's eye-level height is 324 ft above sea level, and Adam's eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula (attached image), with d being the distance they can see in miles and h being their eye-level height in feet.

27.94in

The width of a desk is 25 inches, or 63.5 centimeters. If a measurement in inches varies directly with a measurement in centimeters, what is the length, in centimeters, of a notebook that is 11 inches long? Round your answer to the nearest hundredth, if necessary.

910 millibars

Using (this) formula, what is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

(sqrt5)m

Using the formula, How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?

x\sqrt[12]{x^5} , x^(17/12)

What is the (following) product?

3x\sqrt{6x}-x^4\sqrt{30x}+24x^2\sqrt{2}-8x^5\sqrt{10}

What is the (following) simplified product? \left(\sqrt{6x^2}+4\sqrt{8x^3}\right)\left(\sqrt{9x}-x\sqrt{5x^5}\right)

12b^2(crt(2a))

What is the (following) sum?

6y^2(sqrt10)+12(sqrt5y)

What is the product, assuming y is positive?

((5rt(10x))/3x)

What is the simplified form of (this)?

(3x(sqrt(6x))-(x^4(sqrt(30x))+(24x^2(sqrt(2)))-(8x^5(sqrt(10)))

What is the simplified product?

x=3 (not -10)

What is the solution?

inverse variation; k=4

Which best describes the function on the graph?

((y^1/2)/xz^2) "Y to the 1/2 over XZ squared"

Which is an equivalent expression?