Question

rationalize 2 root 6 minus root 5 / 3 root 5 minus 2 root 6​

Answer 1

Answer:

[ 4√30 + 9 ] / 21

Step-by-step explanation:

Equation: ( 2√6 - √5 ) / ( 3√5 - 2√6 )

Multiplying and dividing by ( 3√5 + 2√6 ) we get,

⇒ ( 2√6 - √5 ) ( 3√5 + 2√6 ) / ( 3√5 - 2√6 ) ( 3√5 + 2√6 )

⇒ ( 2√6 - √5 ) ( 3√5 + 2√6 ) / [ ( 3√5 )² - ( 2√6 )² ]

⇒ ( 2√6 - √5 ) ( 3√5 + 2√6 ) / [ 45 - 24 ]

⇒ ( 2√6 - √5 ) ( 3√5 + 2√6 ) / 21

⇒ [ 3√5 ( 2√6 - √5 ) + 2√6 ( 2√6 - √5 ) / 21

⇒ [ 6√30 - 15 + 24 - 2√30 ] / 21

⇒ [ 4√30 + 9 ] / 21

This is the required answer.

Hope it helped !!

Thanks !!

Answer 2

Please mark the answer as brainliest