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mrs_skeptik [129]
2 years ago
12

Which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50

Mathematics
2 answers:
mash [69]2 years ago
6 0

Answer:

Step-by-step explanation:

\sqrt{8}-\sqrt{72}+\sqrt{50} These cannot combine the way they are. The rule for adding and subtracting radicals is really picky. Not only does the index have to be the same (the little number that is sitting outside in the bend of the radical {ours is a 2, which isn't usually there, but is instead understood to be a square root}), but the radicand, the expression under the square root (or cubed root, or fourth root, etc) has to the same as well. All of our radicals are square roots, so that's good, but the radicands are all different. The first one is an 8, the next one is a 72, and the last one is a 50. BUT if we can rewrite them by simplifying them and then the radicands are the same, we're in good shape.

Simplify by taking the prime factorization of each of those numbers.

8: 4*2 and 4 is a perfect square, so we'll stop there

72: 36*2 and 36 is a perfect square, so we'll stop there

50: 25*2 and 25 is a perfect square, so we'll stop there.

Now, rewrite each one of them in terms of their prime factorization:

\sqrt{4*2}-\sqrt{36*2}+\sqrt{25*2} and then pull out each perfect square as its root:

2\sqrt{2}-6\sqrt{2}+5\sqrt{2} and now all the radicands are the same, so we can add them to get

1\sqrt{2}  or simply  \sqrt{2}

JulsSmile [24]2 years ago
3 0

Answer:

A: \sqrt{2}

Step-by-step explanation:

sqrt 8 = sqrt (2 * 2 *2 ) = 2\sqrt{2}

sqrt 72 = sqrt (2 * 2 *2 * 3 * 3 ) = 6\sqrt{2}

sqrt 50= sqrt (2 * 5 *5 ) = 5\sqrt{2}

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Step-by-step explanation:

let the first angle be 5x

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as we know that by adding all the sides of triangle we get 180°

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You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups
Viktor [21]

Answer:

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Your friend: if it was 4 cups it’d be 12 water

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Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2​ labor-hours of assembly and 2​ labor-hours o
OlgaM077 [116]

Answer:

<u>Infotron should produce each day 13 hockey and 6 soccer games</u>

Step-by-step explanation:

x = Number of hockey games Infotron should produce

y = Number of soccer games Infotron should produce

Number of labor-hours for assembly = 2x + 3y

Number of labor-hours for testing = 2x + y

Now we can write our equations system, this way:

2x + 3y = 44

2x + y = 32

*********************

Expressing y in terms of x in the 2nd equation:

2x + y = 32

y = 32 - 2x

********************

Substituting y and solving for x in the 1st equation:

2x + 3y = 44

2x + 3 * ( 32 - 2x) = 44

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x = 13

*****************

Solving for y in the 2nd equation:

2x + y = 32

2 * 13 + y = 32

26 + y = 32

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2 years ago
If standard deviation of a given data is 5 and mean is 50 then coefficient of variation (C.V) is equal to *
torisob [31]

Answer:

10

Step-by-step explanation:

Coefficient of variation is a measure of dispersion, showing the variability of data in relation to the mean.

The Coefficient of variation compares the degree of variation between data points. The coefficient of variation is the ratio of mean to standard deviation. It is given by the formula:

Coefficient of variation = mean / standard deviation

Coefficient of variation = 50 / 5

Coefficient of variation = 10

4 0
3 years ago
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