Question

if a and b are rational number and √2+2√3 by 2√2+√3 =a+b√6 , find the value of a and b​

Answer 1

Answer: Hi friend

Your answer,

first take LHS

your LHS is √2+2√3/2√2+√3

rationalise the LHS

you get -10-5√6

now LHS is equal to RHS

-10-5√6=a+b√6

hence a=-10 and b=-5

Hope is helpful

if any problem or wrong let me know

Answer 2

first take LHS

your LHS is √2+2√3/2√2+√3

rationalise the LHS

you get -10-5√6

now LHS is equal to RHS

-10-5√6=a+b√6

hence a=-10 and b=-5