Question

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Answer 1

`12+2sqrt35=7+2sqrt{7.5}+5=(sqrt7+sqrt5)^2`

`9+4sqrt2=8+2.2sqrt2+1=(2sqrt2+1)^2`

`9-4sqrt2=8-2.2sqrt2+1=(2sqrt2-1)^2`

Answer 2

\(12+2\sqrt{35}=\left(\sqrt{7}+\sqrt{5}\right)^2\)

\(9+4\sqrt{2}=\left(2\sqrt{2}+1\right)^2\)

\(9-4\left(\sqrt{2}\right)=\left(2\sqrt{2}-1\right)^2\)