Question

If 'a' and 'b' are two rational numbers such that 3+2√3 / 3-2√3=a+b√3, find the values of 'a' and 'b' respectively.
CLASS 9 CBSE
CHAPTER-NUMBER SYSTEMS
PLZ HELP​ ITS URGENT

Answer 1

Answer:

LHS :

2−

3

​

2+

3

​

​

Rationalising denominator, we get

2−

3

​

2+

3

​

​

×

2+

3

​

2+

3

​

​

=

4−3

(2+

3

​

)

2

​

=7+4

3

​

=a+b

3

​

∴a=7;b=4

Step-by-step explanation: