Math, asked by khanak77, 8 months ago

rationalize the denominator:
3/root5​

Answers

Answered by ridhima3242
21

Answer:

Ans:3 root5/5

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Answered by gayatrikumari99sl
2

Answer:

On rationalize \frac{3}{\sqrt{5} }  we get  \frac{3\sqrt{5} }{5}  as a result.

Explanation:

Given in the question that, \frac{3}{\sqrt{5} }

Rationalize the denominator

Therefore, we must remove all radicals from the denominator to justify it.

  • To eliminate the radical in the denominator, multiply the numerator and denominator by the radical.
  • Ensure that all radicals are condensed.
  • If necessary, simplify the fraction.

Step 1:

From we have, \frac{3}{\sqrt{5} }

Now we rationalize the denominator by multiplying both numerator and denominator \sqrt{5}.

\frac{3}{\sqrt{5} } × \frac{\sqrt{5} }{\sqrt{5} } = \frac{3\sqrt{5} }{5}

Final answer:

Hence, \frac{3\sqrt{5} }{5} is the required value.

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