Question

find the value of 'a'and 'b' if( 3+root 8/3-root 8) -( 3-root 8/3+root 8) =a +b root 8 b​

Answer 1

Answer:

Step-by-step explanation:Consider (√a+√b)2

we get it as a+b+2√ab

now, 5 + 2√6 -- if it is a perfect sq, there will be 2 no.s-

  such that a+b=5

                  2√ab=2√6, ab=6      (a=3, b=2)

so, 5 + 2√6 can be written as 3+2+2√3×2

                                            =(√3+√2)2

so SQRT( 5 + 2  SQRT(6)) = √3+√2

similarly, taking SQRT(8-2√15)

a+b=8, ab=15(a=5,b=3)

so SQRT(8-2√15)=(√5-√3)

So √3+√2+√5-√3=√2+√5

Answer 2

hope u understand it