The original can be rewritten as

. Because i^2 is equal to -1, we can replace the -1 in each radicand with i^2, like this:

. Now, i-squared is a perfect square that can be pulled out of each radicand as a single i.

. 24 has a perfect square hidden in it. 4 * 6 = 24 and 4 is a perfect square. So let's break this up, step by step.

and then

. We will now multiply the i and the 2i, and multiply the square root of 6 times the square root of 6:

. 36 itself is a perfect square because 6 * 6 = 36. So we will do that simplification now.

. Multiplying the 2 and the 6 gives us

. But here we are back to the fact that i-squared is equal to -1, so 2(-1)(6) = -12. See how that works?
"The quotient of a number and 3 less than twice the number" would translate to the expression x/(2x-3)
Basically we have x up top the fraction and 2x-3 in the bottom denominator of the fraction. The slash / means divide
Set up a proportion then cross multiply to solve.
14/66 = 119/x
14x= 66(119)
14x=7854
x=561 ft
Answer:
Taking square-root of numbers
Step-by-step explanation:
The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.
No! 2^-3 is not equal to -3^2