Question

simplfy the following​

Answer 1

here is your answer.......

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answer with picture.......

Answer 2

Answer:

Step-by-step explanation:

HELLO DEAR,

GIVEN: (6√2) /(√3+√6) -(4√3)/(√6+√2) +(2√6)/(√2+√3)

By solving each part ,

( 6√2)/(√3+√6) = (6√2)/(√3+√6) ×(√3-√6)/(√3-√6)

rationalising

(6√6-6√12)/(3-6)

=> 6(√6-√12)/(-3)

=> -2√6+2√12

=> -2√6+4√3. ........i)

Taking term ,

( 4√3)/(√6+√2)= (4√18-4√6)/)6-2)

= -4√3+6√2 ........ii)

Taking term,

( 2√6)/(√2+√3)

= (2√12-2√18)/(2-3)

= (2√12-2√18)/ -1

= -4√3 + 6√2 ............iii)

Solving the all term,

(-2√6+4√3 ) - (-4√3 + 6√2) + ( -4√3 + 6√2)

=> -2√6 + 4√3 +4√3 -6√2 -4√3 -6√2

=> -8√6 + 4√3 -12√2.

I HOPE IT'S HELP YOU DEAR,

THANKS.