Question

what is the rationalization factor of 3 upon root 5​

Answer 1

Answer:

root 5 will be the rationalising of 3 upon root 5 and the answer will be 3root 5 upon 5.

Step-by-step explanation:

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Answer 2

The rationalization factor of  $\frac{3}{\sqrt{5} }$ is $\frac{1}{\sqrt{5} }$.

Given,

An irrational number: $\frac{3}{\sqrt{5} }$.

To Find,

The rationalization factor of the irrational number $\frac{3}{\sqrt{5} }$ .

Solution,

The method of finding the rationalization factor of $\frac{3}{\sqrt{5} }$ is as follows -

We know that when a real number is multiplied by an irrational number and the result is a rational number, that real number is called the rationalization factor of that irrational number.

Now observe that  $\sqrt{5}$ in the denominator of the number $\frac{3}{\sqrt{5} }$ is making this number an irrational number. So to get rid of the irrational part we can multiply the number by $\frac{1}{\sqrt{5} }$ .

Then, $\frac{3}{\sqrt{5} } *\frac{1}{\sqrt{5} }=\frac{3}{\sqrt{5} \ * \ \sqrt{5} } =\frac{3}{5}$.

Hence, the rationalization factor of  $\frac{3}{\sqrt{5} }$ is $\frac{1}{\sqrt{5} }$.

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