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stich3 [128]
2 years ago
11

3. Give an example of an expression with a rational exponent and explain how to convert it into radical form.

Mathematics
1 answer:
asambeis [7]2 years ago
5 0
<h2><u>Solution </u><u>-</u><u>:</u><u> </u></h2>

<u>Example </u><u>-</u><u>1</u><u> </u>

<u>Here </u><u>we </u><u>have </u><u>,</u><u>,</u><u>,</u><u> </u>

(6 \: x) { \frac{9}{5} }^{}

<u>solve </u><u>-</u><u>;</u><u> </u>

<u>6</u><u>x</u><u> </u><u>^</u><u>9</u><u>×</u><u>1</u><u>/</u><u>5</u>

<u>\big[(6x \: ) {}^{9} ] {}^{ \frac{1}{5} }</u>

<u>Convert </u><u>on </u><u>radical </u><u>form </u>

<u>\sqrt[5]{(6x) {}^{9} }</u>

<u>Example </u><u>-</u><u>2</u><u> </u>

<u>\displaystyle{}a {}^{ \frac{2}{5} } \\   =  \sqrt[5]{x {}^{2} }  \:   \:  \:  \:  \:  \:  \:  \because ( \sqrt[m]{x {}^{n} } )</u>

<h2>__________________</h2><h3><u>More </u><u>Basic </u><u>Information </u><u>-</u><u>:</u><u> </u></h3>
  • hair in the question 3x is called radicant and five is called the index of radical. and in second question X is radicant of the number and five and two are index of the number.

<u>types </u><u>of </u><u>Radical </u><u>-</u><u>:</u><u> </u>

  • pure radical
  • mixed radical
  • unequal radical
  • equal radical

<u>rationalization </u>

  • the operation of multiplication of a radical with the other radical to get product a rational number is called rationalisation.

<u>other </u><u>name </u>

  • surds
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From the question given above, the following data were obtained:

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VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

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Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

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The easiest way to draw a straight-line graph, such as this one, is to plot the y-intercept, in this case (0, 490), then plot another point either side of it at a fair distance (for example substitute  = -5 and  = 5 to procure two more sets of co-ordinates). These can be joined up with a straight line to form a section of the graph, which would otherwise extend infinitely either side - use the specified range in the question for x-values, and do not exceed it (clearly here the limit of -values is 0 ≤ x ≤ 735, since neither x nor y can be negative within the context of the question - the upper limit was found by substituting  = 0).

In function notation, the graph is:



The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.

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