Question

For rationalising the denominator of the expression 1/√12
 we multiply and divide by
(a)1/√12
(b)12
(c)√2
(d)√3
the answer is √3 but pls can you help me with process​

Answer 1

Answer:

Root 3

Step-by-step explanation:

since 1/ root 12 can be expressed in the form 1/ 2 root 3

(12=4*3 and the sq root of root 4 is 2)

this leaves only 2 root 3 in the denominator to remove by multiplying and dividing it thus rationalising the denominator.

Answer 2

For rationalizing the denominator of the expression 1/√12 we multiply and divide by (d) √3

Let us factorize 12

12 = 4 x 3

12 = 2x 2 x 3

Write the factorized form of 12 in the expression

1 / √2x2x3

It can be written as

1 / 2√3

For rationalising a number, we have to remove the square root from the denominator

We divide and multiply  1 / 2√3 by √3

Rationalised form = (1 x √3  / 2√3 x √3 )

                              = √3 / 2x 3

                             = √3 /6

Therefore, for rationalizing 1/√12, we divide and multiply it by √3

The rationalized form of the number is √3 /6.