These are 8 questions and 8 answers:1) Quesion 1: 9+√2
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4 - √7
Answer: the third option:36 + 9√7 + 4√2 + √14
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9
Explanation: Multiply both numerator and denominator by the conjugate of the denominator.
The conjugate of 4 - √7 = 4 + √7
=>

2) Question 2: sum
Answer: fourth option
Explanation:Take x^5 out of the second radical which will result in a like term of the first radical:
![5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y})](https://tex.z-dn.net/?f=5x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%20%29%2B2%28%20%5Csqrt%5B3%5D%7Bx%5E5y%7D%29%20%3D5x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%20%29%2B2x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%29%3D7x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%29%20%20)
which is the fourth option
3) Question 3. Which expression is equivalent to:
Answer: the first optionExplanation
4) Question 4 What is the simplest form?Answer: the second optionExplanation:
5) Question 5 Product Answer: the fourth option:![104x^4+16x^4 \sqrt{30} [/tex]\\Explanation:\\Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2\\[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=](https://tex.z-dn.net/?f=104x%5E4%2B16x%5E4%20%5Csqrt%7B30%7D%20%5B%2Ftex%3C%2Fstrong%3E%5D%5C%5C%3Cstrong%3EExplanation%3A%3C%2Fstrong%3E%5C%5CUse%20the%20square%20of%20a%20binomial%20product%3A%20%28a%20%2B%20b%29%5E2%20%3D%20a%5E2%20%2B%202ab%20%2B%20b%5E2%5C%5C%5Btex%5D%284x%20%5Csqrt%7B5x%5E2%7D%20%29%5E2%2B2%284x%20%5Csqrt%7B5x%5E2%7D%29%282x%5E2%20%5Csqrt%7B6%7D%29%20%2B%282x%5E2%20%5Csqrt%7B6%7D%20%29%5E2%3D)


which is the fourth option.
6) Question 6 Product
Answer: fourth option
Explanation:
![\sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} = \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B16x%5E7%7D%20.%20%5Csqrt%5B3%5D%7B12x%5E9%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E4.2%5E2.3x%5E7x%5E9%7D%20%3D%20%20%5Csqrt%5B3%5D%7B2%5E6.3.x%5E%7B16%7D%7D%3D2%5E2%20x%5E5%20%5Csqrt%5B3%5D%7B3x%7D%20%3D4%20x%5E5%5Csqrt%5B3%5D%7B3x%7D%20)
which is the fourth option.
7) Question 7. Simplified form of 2√18 + 3√2 + √162
Answer: 18√2
Explanation:

which is the second option.
8) Question 8 which function is undefined for x = 0.
Answer: second option y = √ (x - 2)
Explanation.
The square root function is not defined for negative values.
When x = 0, x - 2 = -2, whose square root is not defined.
Therefore, the square root of x - 2 is not defined for x = 0.
I'm not completely sure about this. But i think that you can use the Pythagorean Theroem to help with this problem. Which is:
To solve
this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we
obtain:
162= (3^4)(2)
108= (2^2)(3^3)
180= (2^2)(3^2)(5)
We choose
the common numbers with their lowest exponent:
M.C.D.= (2)(3^2)
M.C.D.= 2x9
M.C.D.= 18
The greatest number of baskets that can be made is: 18 baskets
To know how
many apples, oranges and bananas are in each basket, we must divide the
greatest number of them that can be made between the total amount of apples,
oranges and bananas, as shown below:
162/18= 9 apples
108/18= 6 oranges
180/18= 10 bananas
So, there are 9 apples, 6 oranges and 10 bananas in each basket.
Answer: 400
Step-by-step explanation: cube root 8000 then that times itself
Answer:
0.0288 or 2.88%
Step-by-step explanation:
(a) So the probability of winning 1 dinner-for-two prize out of 521 possible cookies, knowing that Lisa bought 15 cookies is the probability that fortune cookie falls into the 15 out of 521 possible cookies, which is:
15 / 521 = 0.0288 or 2.88%