Question

if x=4√6/√2+√3 then find the value of x+2√2/x-2√2=x+2√3/x-2√3

Answer 1

Answer:

Step-by-step explanation:

a=4√6/√3+√2*√3-√2/√3-√2

=4√6(√3-√2)/3-2

=4√6(√3-√2)/12√2-8√3

=a+2√2/a-2√2

=14√2-8√3/10√2-8√3

=7√2-4√3/5√2-4√3*√3/√3

=7√6-12/5√6-12......(1)

a+2√2/a-2√2

=12√2-10√3/12√3-6√3

=6√2-3√3/6√2-5√3*√3/√3

=6√6-9/6√6-15....(2)

(1)+(2)=7√6-12/5√6-12+6√6-9/6√-15

=252-177√6+180=180-117√6+180-147√6+180/180-147√6+180

=720-294√6/360-147√6

=2(ans)

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