Question

6. Write the least (smallest) rationalising factor of
1/root 5​

Answer 1

Answer:

1/√5 = 1/√5 × √5/√5

= √5/5

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Answer 2

Answer:

The smallest rationalizing factor of 1/√5 is √5.

Step-by-step explanation:

Note: In order to rationalize the denominator of a fraction with a square root in the denominator, we multiply both the numerator and the denominator of the fraction by the conjugate of the denominator.

The denominator of the given fraction = √5.

As √5 is a real number, the conjugate of the denominator = √5

On multiplying both the numerator and denominator by √5, we get:

$\frac{ \\ 1}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } = \frac{ \sqrt{5} }{5}$

As you can see the value of the fraction doesn't change when both the numerator and denominator are multiplied by √5.

Therefore the least rationalizing factor of the above given fraction i.e. 1/√5 is √5.

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