Question

Rationalize the denominator 14√3+5√2/√48+√18​

Answer 1

Step-by-step explanation:

14√3 + 5√2 / √48+√18

= 14√3 + 5√2 / √48+√18 × √48 -√18/√48-√18

= 14√3 + 5√2 × √48-√18/ (48 - 18)

= 168 - 42√6 + 20√6 - 30 / 30

= 138 - 22√6 / 30

= 2 ( 69 - 11√6 ) / 30

= ( 69 - 11√6 ) / 15. Ans

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