Question

3root 2 minus 2 root 3 upon 3root2+2root 3 + root 12 upon root 3minus root2

Answer 1

Answer:

7 + 3√6

   -5

Step-by-step explanation:

3√2     -      2√3

3√2 + 2√3 + √12

√12 = √3*2*2 = 2√3

∴ 3√2     -      2√3   =    3√2 -  2√3

 3√2 + 2√3 + 2√3         3√2 + 4√3

Rationalize the denominator (multiply by its conjugate) and we get,

3√2 -  2√3 *  3√2 - 4√3  =  18- (12√6) - (6√6) +24  (multiply and simplify)

  3√2 + 4√3  *  3√2 - 4√3             18   -    48

= (18 + 24) - (12√6 - 6√6)

                -30

=   42 + 18√6

        -30

= 6 (7 + 3√6)   (cancelling 6 and -30, we get 2 and -5 respectively)

       -30

∴ the answer is  →  7 + 3√6

                                   -5

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Answer 2

Pls mark as brainliest answer