Question

What is the rationalizing factor of root 12 ? How ?

Answer 1

Answer:

The smallest rationalising factor is √3 which is smaller than 2.

√12=√(4*3)=√4 * √3=2√3.

Answer 2

The rationalising factor of √12 is √3

Given : The given term is, √12

To find : The rationalising factor of the given term.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the rationalising factor of the given term)

To properly understand this mathematical problem, we have to know more about rationalising factor.

Rationalising factor :

• Rationalising factor can be defined as the, "the number which is need to be multiplied with an irrational number, to produce a rational number as the product."

Given number :

= √12

= √(4×3)

= 2√3

In 2√3 , we have to eliminate √3 , in order to rationalise the number. For that, a possible solution is to multiply the number with √3 itself.

Because,

= 2√3 × √3

= 2 × √3 × √3

= 2 × 3

= 6 (a rational number)

So, √3 satisfies the condition of being the rationalising factor, in this case. (as, the product of the given number and √3 is able to produce a rational number)

Hence, the rationalising factor is √3