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garik1379 [7]
3 years ago
9

Simplify3√2√6− √3+2 √3√6+ 2-4√3√6− √2​

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

5√3-7√2+2

Step-by-step explanation:

3√2√6−√3+2√3√6+ 2-4√3√6−√2

Bringing the like terms

3√2√6-2√3√6−√2−√3+2

Now we apply the rule which says

√a x√b = √ab

3√(2x6)-2√(3×6)-√2-√3+2

3√(2x2×3)-2√(3×3×2)-√2-√3+2

3×2√3-2×3√2-√2-√3+2

6√3-6√2-√2-√3+2

Bringing the like terms together

6√3-√3-6√2-√2+2

5√3-7√2+2

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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
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Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

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For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

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<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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3 years ago
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Answer:

The answer would be 4

Step-by-step explanation:

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I don't really know how to explain it, but this is the answer
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Answer:

1. x (multiplication)

2. / (division)

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4. - (subtraction)

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Step-by-step explanation:

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