Question

Rationalize the denominator 5-√6/5+√6

Answer 1

Answer:this is the answer.. please mark as brainlist

Step-by-step explanation:

Answer 2

Answer:

31-10√6/19

Step-by-step explanation:

5-√6/5+√6

= 5-√6/5+√6 * 5-√6/5-√6.

5-√6 * 5-√6 = (5-√6)^2. [(a-b)^2 = a^2 -2ab + b^2]

5-√6 * 5+√6. [(a-b) (a+b) = a^2 - b^2]

= (5-√6)^2/(5-√6)(5+√6)

(5-√6)^2

= 5^2 - 2*5*√6 + (√6)^2

= 25 - 10√6 + 6

= 31-10√6

(5-√6)(5+√6)

= (5)^2 - (√6)^2

= 25 - 6

= 19

So,

5-√6/5+√6

= 31-10√6/19

Hope it helps you.....