Respuesta :


[tex] \frac{6}{2 \sqrt{3} } \\ \frac{3}{ \sqrt{3} } \\ \frac{3 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ \frac{3 \sqrt{3} }{3} \\ \sqrt{3 } = 1.73205[/tex]

Answer:

⇛√3.

Step-by-step explanation:

Given,

6/√12

The denominator is √12.

We know that

The rationalising factor of √a is √a.

Therefore the rationalising factor of √12 is √12. To rationalise the denominator is 6/√12, we multiply this by √12/√12.

∴ 6/√12

= (6/√12)×(√12/√12)

= {6(√12)}/{(√12)(√12)}

= 6(√12)/√12²

= 6(√12)/√12*12

= 6(√12)/12

= √12/2

= (√4×3)/2

= (2√3)/2

= √3

Hence, the denominator is rationalised.

Learn more

Similar Question:

Rationalise the denominator is 1/(√4 - √2)...

https://brainly.com/question/24888984?referrer

ACCESS MORE
EDU ACCESS
Universidad de Mexico