Question

Root 7+1/root 7-1=a+b root 7 find the value of A and B in each of the following

Answer 1

Step-by-step explanation:

a=0 and b=\frac{-2}{3}

Step-by-step explanation:

The given equation is:

\frac{\sqrt{7}-1}{\sqrt{7}+1}-\frac{\sqrt{7}+1}{\sqrt{7}-1}=a+b\sqrt{7}

Solving the LHS of the above equation, we get

\frac{(\sqrt{7}-1)^{2}-(\sqrt{7}+1)^{2}}{7-1}

=\frac{7+1-2\sqrt{7}-7-1-2\sqrt{7}}{6}

=\frac{-4}{6}\sqrt{7}

=\frac{-2}{3} \sqrt{7}

Now, comparing with the RHS of the given equation, we get

a=0 and b=\frac{-2}{3}

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