Tutors Answer Your Questions about Radicals (FREE)
Question 1021250: So I'm having to simplify the square root of this problem with "x" and "y" having exponents. Afterward I check my answer by raising it to the 2nd power. I have looked through my text and online at examples but I feel like I'm missing something. The problem is:
sqrt64x^14y^20
Simplified, it is 8x^14y^20. Once I raise it to the second power, it changes to 64x^28y^40
I feel like the power of "x" and "y" should have changed when simplified. Should it?
Click here to see answer by rothauserc(4718)   |
Question 1025597: Find the perimeter of each figure.
The M.T. Container Manufacturing Company is planning to make a new box 3 in. high and a 10 in. long. If the M.T. box measures 14 in. diagonally across the bottom, what is the width od the box?
Click here to see answer by mananth(16946)  |
Question 1025718: Mr. Ferguson is going to construct a ramp to his barn. The barn loft is 48 in. above ground level, and the base of the ramp will need to be 20 ft from the barn.
A. how long (in feet and inches) must be the ramp be (to the nearest inch)
B. What is the slope of the ramp? Express your answer as both a fraction and a percent.
Click here to see answer by josgarithmetic(39617) |
Question 1025716: The dimensions of a rectangular box are length = 15 in., width = 12 n., and height = 9 in. Use the Pythagorean theorem to find the following.
A. the length of a diagonal of the bottom of the box
B. the length of a diagonal of the box, d
Click here to see answer by ikleyn(52781)  |
Question 1026264: The formula T = 2π√(l/g) relates a pendulum's period, T, in seconds (the time it takes to swing back and forth) to its length, l, in centimeters using g, the gravitational acceleration of 981 cm/sec^2.
How long would the pendulum have to be (to the nearest tenth of a centimeter) to make a pendulum with the given period?
QUESTION:
Solve the equation T = 2π√(l/g) for l
NOTE:
√(l/g) means square root of l/g
Click here to see answer by Theo(13342)  |
Question 1026265: Use the formula V = 15/22√gd to determine the depth of the water for tsunami wave starveling at the given speeds. (V is the wave's speed in miles per hour, g is the gravitational acceleration of 32 ft/sec^2, and d is the depth of the water in feet.)
QUESTION:
180 mi/hr
NOTE:
√gd means the square root of gd
Click here to see answer by stanbon(75887) |
Question 1026263: The formula T = 2π√(l/g) relates a pendulum's period, T, in seconds (the time it takes to swing back and forth) to its length, l, in centimeters using g, the gravitational acceleration of 981 cm/sec^2.
How long would the pendulum have to be (to the nearest tenth of a centimeter) to make a pendulum with the given period?
QUESTION:
1 sec
NOTE:
√(l/g) means square root of l/g
Click here to see answer by stanbon(75887) |
Question 1026262: Use the formula S = √(30Df ) to determine the distance required for a car to skid to a stop. (S is the car's in miles per hour, D is the length of the skid marks in feet, and f is the coefficient of friction between the tires and the road.)
f = 0.8 ; S = 45 mi/hr
NOTE:
√(30Df ) is a square root of 30Df
Click here to see answer by rothauserc(4718) |
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