Question

express each of the following with a rational dominator

B. 6/2√3-√6​

Answer 1

Answer:

2√3+√6 / 1

Step-by-step explanation:

To convert the denominator into a rational number, we need to multiply the numerator and denominator by (2√3 + √6).

6 / 2√3-√6

= 6 (2√3+√6) / (2√3-√6)(2√3+√6)

= 6 (2√3+√6) / (2√3)² - (√6)²

= 6 (2√3+√6) / 12 - 6

= 6 (2√3+√6) / 6

= 2√3+√6 / 1