Rationalize the denominator of $\frac{\sqrt{32}}{\sqrt{16}-\sqrt{2 }}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$, and $D$ are integers, $D$ is positive, and $B$ is not divisible by the square of any prime. Find the minimum possible value of $A+B+C+D$.

Rationalizing the denominator involves exploiting the well-known difference of squares formula,

We have

so that

Rewrite 16 and 32 as powers of 2, then simplify:

So we have A = 8, B = 2, C = 4, and D = 7, and thus A + B + C + D = 21.

e.

step-by-step explanation:

because there are always 10 numbers in a phone number.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.