Question

find the value of a and b if 5-2√3/7-4√3=a-b√3​

Answer 1

Answer:

-6.

Step-by-step explanation:

hope it will be helpful to you dear friend I

Answer 2

Step-by-step explanation:

Solving the LHS,

(5+2√3)/(7+4√3).

Here, since the denominator is not a rational number, we can rationalise it for our ease by multiplying (7–4√3) with the numerator as well as denominator such that we form (a+b)*(a-b) which would be same as a²-b² which is a popular identity.

After multiplying, we would get

(5+2√3)*(7–4√3)/(49–48)=(35–20√3+14√3–24)/1

=11–6√3 or 11+(-6)√3.

Comparing it to RHS , we get a=11 and b=-6.

Thank you.