Question

The value of (^5+^2)² is :​

Answer 1

Step-by-step explanation:

$({\sqrt{5} + \sqrt{2} })^{2} \\ = {( \sqrt{5}) }^{2} + 2 \times \sqrt{5} \times \sqrt{2} + {( \sqrt{2} )}^{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10}$

Answer 2

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$$\begin{lgathered}({\sqrt{5} + \sqrt{2} })^{2} \\ = {( \sqrt{5}) }^{2} + 2 \times \sqrt{5} \times \sqrt{2} + {( \sqrt{2} )}^{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10}\end{lgathered}$$