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

User Ivans
by
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1 Answer

6 votes

Solution -:

Example -1

Here we have ,,,


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

solve -;

6x ^9×1/5


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

Convert on radical form


\sqrt[5]{(6x) {}^(9) }

Example -2


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

__________________

More Basic Information -:

  • 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.

types of Radical -:

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

rationalization

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

other name

  • surds
User Xeelley
by
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