Question

9+4√2

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Answer 1

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

Answer 2

\(\sqrt{9+4\sqrt{2}}=\sqrt{\left(8+4\sqrt{2}+1\right)}=\sqrt{\left(\sqrt{8}+1\right)^2}=\sqrt{8}+1\)

Answer 3

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