Can someone correct these for me please.

Problem #68
Science and medicine. Find the time required for an object to fall to the ground from a building that is 1400 ft high. Using the formula t=(1)/(4)radical(s).

My answer: 9 minutes and 35 sec.

Problem #2

Use Property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers.

radical 50

My answer: 5radical(2)

Problem #24

radical (72x^3)

MY answer: (6x) radical (2x)

#2 and #24 look ok.
If your answer for #68 is 9.35 minutes on the calculator, that is NOT 9 minutes and 35 seconds. It is 9 and 35/100 of another minute or 0.35 x 60 = 21 seconds.

To correct Problem #68, we first need to find the value of the expression within the radical. In this case, it is given that s = 1400 ft.

Using the formula t = (1/4)√s, we substitute the value of s into the formula:
t = (1/4)√1400

To simplify the square root of 1400, we need to find its factors. Since 1400 = 4 * 350, we can further simplify it as:
t = (1/4)(√4 * √350)

The square root of 4 is 2, so we have:
t = (1/4)(2√350)

Finally, we can multiply to get the answer:
t = 1/2 * √350 ≈ 0.5 * √350

To convert this into minutes and seconds, let's evaluate it further:
t ≈ 0.5 * √350 ≈ 0.5 * 18.7 ≈ 9.35 minutes

Therefore, the correct answer to Problem #68 is approximately 9 minutes and 35 seconds, as you initially stated.