The answer is 1 + √2
sqrt(2) is

sqrt(3 + 2 sqrt 2) is

Now, let's simplify

.
We will use square of sum: (a + b)² = a² + 2ab + b²
Answer:
GCD=11
Step-by-step explanation:
Factors of 2563 are: 1 , 11 , 233 , 2563.
Factors of 4147 are: 1 , 11 , 13 , 29 , 143 , 319 , 377 , 4147.
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
3n^2+7n-6n-14+4n^2+6n= 7n^2+7n-14
Hope that helps and best of wishes!
Answer: Bottom left corner
Angle DEC and Angle DEH
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Explanation:
I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.
Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.