Question

if a and b are rational numbers and √2+2√3/2√2+√3=a+b√6 , find the values of a and b​

Answer 1

hi mate your answer is

• 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

i think it helps you

if any problem or wrong let me know

please mark me as brainliest

Answer 2

Answer:

a+b= 2+√3

Step-by-step explanation:

=√2 + 2√3 / 2√2 + √3

= √2 + √3 / √2 + √3 (multiply by √2)

= 2 + √3 √6

Hence, value of a is 2 & value of b is √3