Question

hello everyone can u just help me by solving this question


find the value of A and B if.

2 root 6 - root 5 / 3root 5 - 2root 6 = a+b root 30



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Answer 1

Answer:

2√6 - √5/3√5 - 2√6

⇒2√6 - √5   *   3√5 + 2√6

  3√5 - 2√6      3√5 + 2√6

= 2√6(3√5 + 2√6) - √5(  3√5 + 2√6)

             (3√5)² - (2√6)²

= 6√30 + 24 - 15 - 2√30

          45 - 24

= 4√30 + 9 = a + b√30

       21

= 4√30 + 9     = a +b√30

     21        21

a = 9/21      b= 4/21

a = 3/7        b = 4/21