Question

rationalize the denominator of 1/root 5​

Answer 1

Step-by-step explanation:

• 1/√5*1/√5=1/5 ihope itis the correct answer

Answer 2

Given,

• 1/$\sqrt{5}$ is given.

To find,

• We have to rationalize the denominator of 1/$\sqrt{5}$.

Solution,

Rationalization is the process of removing an irrational number from the denominator by shifting them to the numerator. After the rationalization of the denominator, the denominator has only rational factors.

We can easily find the rationalizing factor by multiplying and dividing the fraction by the same irrational number as present in the denominator in the case of a single irrational number present in the denominator.

We can easily rationalize the denominator of 1/$\sqrt{5}$ by multiplying and dividing 1/$\sqrt{5}$ by the rationalizing factor $\sqrt{5}$.

                =   1/$\sqrt{5}$ * $\sqrt{5}$/$\sqrt{5}$

                =    $\sqrt{5}$/$5$

Hence, the rationalization of the denominator of 1/$\sqrt{5}$ is   $\sqrt{5}$/$5$.