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Rus_ich [418]
1 year ago
6

What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su

perscript 4 Baseline EndRoot minus x StartRoot 5 x squared EndRoot).
Mathematics
1 answer:
RideAnS [48]1 year ago
7 0

This is the simplest form 4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2}).

<h2>Exponent</h2>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

<h3>Simplification</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2}  ) is an expression.

<h3>How to make it simple?</h3>

\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2}  )

On simplifying, we have

\rm 4\sqrt{2}  (x)^{\frac{3}{2}} * ( 3\sqrt{10} x^2 - \sqrt{5} x^{\frac{3}{2}})\\\\24\sqrt{5} x^{\frac{7}{2}}  - 4\sqrt{10}x^3\\\\4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2} )\\

This is the simplest form 4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2}).

More about the exponent link is given below.

brainly.com/question/5497425

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8 0
3 years ago
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