Question

solve these. (√5+√2)²​

Answer 1

(√5+√2)²

ID: (a + b)² = a² + 2ab + b²

= (√5)² + 2(√5) (√2) + (√2)²
= 5 + 2√10 + 2
= 7 + 2√10

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Answer 2

Answer:

$7 + 2 \sqrt{10}$

Step-by-step explanation:

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