Question

Rationalize the denominator 6/√3+5

Answer 1

Answer:

15 - 3 root 3 / 11

Explanation:

To rationalise 6 / root 3 + 5, we will multiply both numerator and denominator with 6 / root 3 -5.

= 6 / root 3 + 5 * root 3 - 5 / root 3 - 5

= 6 / root 3 + 5 * root 3 - 5 / root 3 - 5

= 6 root 3 - 30 / 3 - 25

= 6 / root 3 + 5 * root 3 - 5 / root 3 - 5

= 6 root 3 - 30 / 3 - 25

= 6 root 3 - 30 / - 22

= 30 - 6 root 3 / 22 ( taking minus sign to numerator)

TAKING 2 COMMON, WE GET

= 15 - 3 root 3 / 11

You can refer the ATTACHMENT for convenience.