Question

Please answer!! Urgent...

Answer 1

Answer:

The answer is 3 + root3/12

Step-by-step explanation:

To rationalize the number 1/6 - 2 root3

Step 1 = Multiply both numerator and denominator of the number with conjugate of the denominator(6 - 2 root3)

The conjugate of the denominator is 6 + 2 root3

Now multiply,

= 1/6 - 2 root3 X 6 + 2 root3

= 6 + 2 root3/(6 - 2 root3)(6 + 2 root3)

Step 2 = Follow the identity

= 6 + 2 root3/(6)^2 - (2 root3)^2[using identity a^2 - b^2 = (a + b)(a - b)

= 6 + 2 root3/36 - 4 X 3

= 6 + 2 root3/36 - 12

= 6 + 2 root3/24

= 3 + root3/12

Answer 2

Step-by-step explanation:

1 × 6+2√3

6-2√3 6+2√3

=> 6+2√3. = 3+√3

24. 12

hope it will help