Question

if 2√6-√5/3√5-2√6=x+ √30y, where x and y are rational numbers, find the value of x and y​

Answer 1

Step-by-step explanation:

We have,

2−32+3=x+y3

On rationalizing the denominator, we get:

2−32+3×2+32+3=x+y3

⇒22−(3)2(2+3)2=x+y3

⇒4−34+3+43=x+y3

⇒7+43=x+y3

On comparing both sides, we get:

x=7,y=4

Hence, the values of x and y are