Question

find the value of "a" and "b" if 3+2 root 5 by 3-2 root 5 =a+b root 5

plz answer it​

Answer 1

Answer:

Step-by-step explanation:

The given equation is:

\frac{2-\sqrt{5}}{2+3\sqrt{5}}=\sqrt{5}a+b

Taking the LHS of the above equation, we get

\frac{2-\sqrt{5}}{2+3\sqrt{5}}=\frac{2-\sqrt{5}}{2+3\sqrt{5}}{\times}\frac{2-3\sqrt{5}}{2-3\sqrt{5}}

=\frac{4-6\sqrt{5}-2\sqrt{5}+15}{4-45}

=\frac{19-7\sqrt{5}}{-41}

=\frac{-7\sqrt{5}+19}{-41}

Now, comparing with RHS, we have

i hope it will help u