Answer:
log ^3 (x)
Step-by-step explanation:
See the image below:)
Answer:
√20,
√19,
√17,
√23
Step-by-step explanation:
Answer: what’s is the 5i
Step-by-step explanation:
Answer:
$129
Step-by-step explanation:
We need to find 15% of $860.
15% of $860 =
= 15% * $860
= 0.15 * $860
= $129
A good place to start is to set
to y. That would mean we are looking for
to be an integer. Clearly,
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since
is a radical, it only outputs values from
, which means y is on the closed interval:
.
With that, we don't really have to consider y anymore, since we know the interval that
is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval
, which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.