Question

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

Answer 1

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) } )`

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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