Question

√5+2/√5-2 =a+b√5 find the values of a and b​

Answer 1

Answer:

The answer would be a=9 and b=2

Step-by-step explanation:

Firstly rationalise 2/(5^1/2-2), so, multiply numerator and denominator by 5^1/2+2 and then you will get the answer as 2×5^1/2+4 and then,

5 +2×5^1/2 +4 =a +b×5^1/2 so,

9+2×5^1/2 =a+b×5^1/2

so by comparison of digits on LHS and RHS sides,

we got a=9 and b=2