Question 1
It won't be completely simplified, because 8 can be factored further, so I would say the answer is "no"
A much better factorization would be
sqrt(72) = sqrt(36*2)
since 36 is the largest perfect square factor of 72
If you're curious how it simplifies, then it would do so like this
sqrt(72) = sqrt(36*2)
sqrt(72) = sqrt(36)*sqrt(2)
sqrt(72) = 6*sqrt(2)
Note: "sqrt" is shorthand for "square root"
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Question 2
For monomials like this, we simply cut the exponent in half, or we divide by 2.
28/2 = 14
Therefore, sqrt(x^28) = x^14
The given expression simplifies to x^14
I can’t really see the picture . I need a better one
Answer: The average of two numbers is
.
Explanation:
The first term is,

The second term is,

Average formula is,







Therefore, the average of two numbers is
.
A really easy way to do this would be converting them all to decimals by dividing the top number by the bottom number.
7/5 = 1.4
15/4 = 3.75
3/2 = 1.5
11/4 = 2.75
13/3 = 4.33
Start with the whole numbers. 3/2 and 7/5 must go first since they both have a 1. 7/5 goes before 3/2 since it has a 4 in the tenths place, while 3/2 has a 5.
Next would be 11/4 since it has a 2, then 15/4 with a 3, and lastly 13/3 with a 4 as a whole number
Answer is 7/5 , 3/2 , 11/4, 15/4 , 13/3
An easy way to do this is to plug in your answer choices in the correct variable places.
A - 1,5 so 3 (5) -2 = 13 // 8 (1) + 5 = 13
Therefore does 13 = 13? Yes
B. 3,9 so 3 (9) -2 = 25 // 8 (3) + 5 = 29
Therefore does 25 = 29? NO, so choice B is out
C.-4,9 so 3 (9) -2 = 25 // 8 (-4) + 5 = -27
Does 25 = -27? NO, so C is out
D. -2,3 so 3 (3 )-2 = 7 // 8 (-2) + 5 = -11
Does 7 = -11? NO, so D is out
YOUR ANSWER IS A