Question

if √3+√2/√3-√2=a+b√6 find a and b

Answer 1

Answer:

a = 5

b = 2

Step-by-step explanation:

start by rationalizing it

√3 + √2 / √3 - √2 * √3 + √2 / √3 +√2

you will get

(√3 + √2)²/3-2 = (√3 + √2)²

=>open the brackets

=>√3² + √2² + 2√3*2

=>3 + 2 + 2√6

=>5 + 2√6

here you can see that

a = 5

and

b = 2