Question

simplify 7 + root 2 7 minus root 2

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Simplify}:\hspace{0.17em}\left(7+\sqrt{2}\right)\left(7-\sqrt{2}\right) \\ [\mathrm{Using}{a}^2-b^2=\left(a-b\right)\left(a+b\right)],\mathrm{we}\mathrm{get} \\ ={\left(7\right)}^2-{\left(\sqrt{2}\right)}^2 \\ =49-2 \\ =47 \end{gathered}$$

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