Question

(root 5 + 2 root 2 )whole square​

Answer 1

Step-by-step explanation:

root5^2+(2root2)^2+2×root5×2root2

= 5+8+4root5root2

= 13+4root5root2

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Answer 2

$\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ ℘ɧεŋσɱεŋศɭ}}}}{\bold☘}$

$\huge\tt\red{\bold{\underline{\underline{❥Question᎓}}}}$(√5+2√2)^2

$\huge\tt{\boxed{\overbrace{\underbrace{\blue{Answer</p><p> }}}}}$

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Here, this identity is used:-

$⟼{\red{(a + b)}}^{2} = {\red {a}}^{2} + {\red{b}}^{2} + {\red{2ab}}$

So,apply this on Question:-

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

$⟼5 + 4 \times 2 + 4 \times \sqrt{2} \sqrt{5}$

$⟼5 + 8 + 4 \sqrt{2} \sqrt{5}$

$= 13 + 4 \sqrt{2} \sqrt{5}$

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