Question

Answer 1

a: \(C=\left(\frac{1+a\cdot\sqrt{a}}{1+\sqrt{a}}-\sqrt{a}\right)\cdot\frac{1+2\sqrt{a}+a}{\left(1-a\right)^2}+\sqrt{a}\)

\(=\left(\frac{\left(1+\sqrt{a}\right)\left(1-\sqrt{a}+a\right)}{1+\sqrt{a}}-\sqrt{a}\right)\cdot\frac{\left(\sqrt{a}+1\right)^2}{\left(\sqrt{a}-1\right)^2\cdot\left(\sqrt{a}+1\right)^2}+\sqrt{a}\)

\(=\frac{\left(1-\sqrt{a}+a-\sqrt{a}\right)}{\left(\sqrt{a}-1\right)^2}+\sqrt{a}=\sqrt{a}+1\)

b: C=3

=>\(\sqrt{a}+1=3\)

=>\(\sqrt{a}=2\)

=>a=4(nhận)