Answer:
n=6, -6
Step-by-step explanation:
The choices b and c are equivalent to
.
Step-by-step explanation:
Step 1:
First, we need to bring the fraction
to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.
The greatest factor for 4 and 6 is 2. So we divide it by 2.
So
.
Step 2:
Similarly, we need to do the same for all the given four options.
a.
, the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.
So
.
b.
, the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.
So
.
For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.
Step 3:
So options b and c are equal to the simplification of
i.e.
.
8.95 to the nearest tenth.
The tenth digit is the first after the decimal point to the right. And that is 9.
Looking at the next digit after it is 5, and it is up to 5 so we increase the 9 to 10.
And of course the 10 would cause an increase to the 8 for it to become 9.
≈ 9.0 to the nearest tenth.
Answer:
±6i√2
Step-by-step explanation:
Recall that the square root of a negative number is imaginary, which is shown by the use of "i."
Examples: √4 = ±2; √4 = i√4 = ±i2
Then √72 = ±√36√2 = ±6√2, and
√(-72) = ± i√36√2 = ±6i√2
Note that this is identical to the result shown in the problem: √(36·2·(-1) )
The answer to the math problem is 10.35