The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
<h3>How to determine the simplified product?</h3>
The complete question is added as an attachment
From the attached figure, the product expression is:
2√8x³(3√10x⁴ - x√5x²)
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 2 *2x√2x(3x²√10 - x²√5)
Evaluate the products
2√8x³(3√10x⁴ - x√5x²) = 4x√2x(3x²√10 - x²√5)
Open the bracket
2√8x³(3√10x⁴ - x√5x²) = 12x³√20x - 4x³√10x
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 24x³√5x - 4x³√10x
Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
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1/3 belongs to the rational set and to the real set.
<h3>
To which sets does the number below belong?</h3>
Here we have the number 1/3.
First, remember that we define rational numbers as these numbers that can be written as a quotient between two integers.
Here 1 is an integer and 3 is an integer, then 1/3 is a rational number.
Also, the combination between the rational set and the irrational set is the set of the real numbers, then 1/3 is also a real number.
Then, concluding:
1/3 belongs to the rational set and to the real set.
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The numbers are 6 and 5 because 6-5=1 and 6^2=36 or 6*6=36,5^2=25 or 5*5=25. 36+25=61
Answer:
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Step-by-step explanation:

then:

therefore, interval [limits] of x:
