2. Simplify each of the following expressions:

(iii)    \left (\sqrt{5}+\sqrt{2} \right )^{2}

Answers (1)

Given number is  \left (\sqrt{5}+\sqrt{2} \right )^{2}

Now, we will reduce it into
\Rightarrow \left (\sqrt{5}+\sqrt{2} \right )^{2} = \left ( (\sqrt{5})^2+(\sqrt{2})^2+2.\sqrt{5}.\sqrt{2} \right )            \left ( using \ (a+b)^2=a^2+b^2 +2ab\right )
                                   =5+2+2\sqrt{10}
                                   =7+2\sqrt{10}


Therefore, the answer is  7+2\sqrt{10}

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