Question

if a and b are rational numbers and 2+√3/2-√3=a+b√3. find the value of a and b​

Answer 1

The values a = 7 and b = 4. Step-by-step explanation: If. we need to find the value of a and b. Rationalize the left hand side of given expression,. Compare both the sides,.

=a+b
6
​


(
3
​
−
2
​
)(
3
​
+
2
​
)
(
3
​
+
2
​
)
2

​
=a+b
6
​


3−2
3+2+2
6
​

​
=a+b
6
​


5+2
6
​
=a+b
6
​


a=5 & b=2
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