Question

Rationalizing the denominator
2 root 3 - root 5 / 2 root 2 +3 root 3

Answer 1

dude this is the answer for this

Answer 2

Answer:

   (18 + 2√10 - 4√6 - 3√15)

  ____________________

                    19

Step-by-step explanation:

= (2√3 - √5) ÷ (2√2 + 3√3)

= [(2√3 - √5)(2√2 - 3√3)] ÷ [(2√2 + 3√3)(2√2 - 3√3)

= [4√6 - 6√9 - 2√10 + 3√15] ÷ [(2√2)² - (3√3)²] ------------> Identity

= [4√6 - 18 - 2√10 + 3√15] ÷ [8 - 27]

= [4√6 - 18 - 2√10 + 3√15] ÷ (-19)

= (18 + 2√10 - 4√6 - 3√15)

  ____________________

                    19

Hope this helps! :)