Question

rationalize the denominator of 12/ √2- √3 +√5​

Answer 1

Ans:- 12/(√2-√3+√5)

Let Take (√2-√3) = x

Now,

= 12/(x+√5)×(x-√5)/(x-√5)

= (12x - 12√5)/(x^2 - 5)

= 12(√2-√3) - 12√5/(√2-√3)^2 - 5

= 12√2 - 12√3 - 12√5/2+3-2√6 - 5

= 12(√2-√3-√5) / 5 - 2√6 - 5

= 12(√2-√3-√5)/2√6

= 6(√2-√3-√5) /√6

here is your answer

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