Question

if x & y are both rational numbers and (3√2 + 2√3) /(5√2-4√3) = x-y√6​

Answer 1

$\Huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}$

2− 3

2+ 3

=x+y √3

On rationalizing the denominator, we get:

2− 3

2+ 3 × 2+ √3

2+ √3 =x+y √3

⇒ 22−( 3 ) √2

(2+ 3 ) √2

=x+y √3

⇒ 4−3

4+3+4 √3

=x+y √3

⇒7+4 √3

=x+y √3

On comparing both sides, we get:

x=7,y=4

Hence, the values of x and y are 7 and 4, respectively.

Hence, Verified

Note :- Scroll both the sides right to left as u can see easily.

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