Question

rationalize the denominator 5 /3√7

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The required answer is (5√7)/21.

Given:

The fraction 5/(3√7).

To Find:

The rationalization of 5/(3√7).

Solution:

By rationalizing a denominator, what we are doing is removing the terms with roots in the denominator.

The given fraction is 5/(3√7). To eliminate the terms in roots, which here is √7, we will multiply the numerator and the denominator by the same term (√7).

Hence, on rationalizing the given fraction, we obtain:

5/(3√7) X √7/√7 = 5x√7/(3x√7x√7) = (5√7)/21.

Hence, the required answer is (5√7)/21.

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