Question

Rationalize the denominator 3 upon 4 root 5

Answer 1

Answer:

3/4√5

Step-by-step explanation:

solution

= 3/4√5×4√5/4√5

= 12√5/16×5

=12√5/80

Answer 2

The correct answer is  $\frac{3\sqrt{5} }{20}$.

Given:

The number 3/(4√5).

To Find:

The rationalized form of the given fraction.

Solution:

We are given a fraction $\frac{3}{4\sqrt{5} }$.

Rationalizing a fraction is a process for the elimination of any radical terms or imaginary numbers in the denominator.

To rationalize any fraction of the form a/√b, we will multiply √b to both the numerator as well as the denominator ( as √b x √b = b which is devoid of any root).

Now, to rationalize $\frac{3}{4\sqrt{5} }$, we will multiply √5 both the numerator as well as the denominator to eliminate the occurrence of the root term in the denominator. In doing so, we get:

$\frac{3}{4\sqrt{5} }$ = $\frac{3}{4\sqrt{5} }$ x $\frac{\sqrt{5} }{\sqrt{5} }$ = $\frac{3\sqrt{5} }{20}$.

∴ On rationalization of  $\frac{3}{4\sqrt{5} }$, we obtain  $\frac{3\sqrt{5} }{20}$.

Hence, the correct answer is  $\frac{3\sqrt{5} }{20}$.

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