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 ,,,

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

solve -;

6x ^9×1/5

$\big[(6x \: ) {}^{9} ] {}^{ \frac{1}{5} }$

Convert on radical form

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

Example -2

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

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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