Question

$( \sqrt{5} + \sqrt{2} ) {}^{2} + (\sqrt{8} - \sqrt{5} ) {}^{2}$
Evaluate​

Answer 1

Answer:

Step-by-step explanation:

(√5)^2+(√2)^2+2×√5×√2+(√8)^2+(√5)^2-2×√8×√5

5+2+2√10+8+5-2√40

20+2√10-4√10

20-2√10

2(10-√10)

Answer 2

Step-by-step explanation:

$( { \sqrt{5} + \sqrt{2} )}^{2} + {( \sqrt{8} - \sqrt{5} )}^{2} \\ we \: know \: that = > \\ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ and \\ {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ \\ 5 + 2 + 2 \sqrt{10} + 8 + 5 - 2 \sqrt{40} \\ 7 + 2 \sqrt{10} + 13 - 4 \sqrt{10} \\ 20 - 2 \sqrt{10} \\ \\ hope \: it \: helps \: uh...$