<span><u><em>The correct answer is: </em></u>
we cannot take an even root of a negative number in the real number system.
<u><em>Explanation</em></u><span><u><em>: </em></u>
A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.
If the base is negative, this means we want an even root of a negative number.
Any even root can be broken down into a series of square roots, done one after another.
However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.</span></span>
Answer:
Step-by-step explanation:
We use binomial expansion for 
This can be rewritten as
![[x(1+\dfrac{h}{x})]^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Bx%281%2B%5Cdfrac%7Bh%7D%7Bx%7D%29%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
From the expansion
Setting 
and 
,
Multiplying by 
,
The limit of this as 
is
(since all the other terms involve 
and vanish to 0.)
Step-by-step explanation:
Given
Hope it will help :)
Answer:
The countertop is 8.37 square meters
Step-by-step explanation:
Let
L ----> the length of the countertop
W ----> the width of the countertop
we know that
The area of rectangle (countertop) is equal to
we have
Remember that
To convert feet to meters multiply by 0.305
so
<em>Find the area in square meters</em>
