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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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