यदि `a,b` परिमेय है और `asqrt(2)+bsqrt(3)=sqrt(98)+sqrt(108)-sqrt(48)-sqrt(72)` है तो `a,b` का मान क्रमश्: क्या होगा?

Options

A. `1,2`
B. `1,3`
C. `2,1`
D. `2,3`

Answer

A

Explanation

`asqrt(2)+bsqrt(3)=sqrt(98)+sqrt(108)`
`-sqrt(48)-sqrt(72)`
`impliessqrt(7xx7xx2)+sqrt(3xx3xx3xx2xx2)`
`implies7sqrt(2)+6sqrt(3)-4sqrt(3)-6sqrt(2)`
`asqrt(2)+bsqrt(3)=1sqrt(2)+2sqrt(3)`
`a=1`
`b=1`