Question

Simplify: $\sf{(\sqrt{5}+\sqrt{2})^2}$​

Answer 1

Answer:

$7 + 2 \sqrt{10}$

Step-by-step explanation:

Using $\sf{(a+b)^2=a^2+b^2+2ab}$

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

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Have a great day ahead

Annyeong

Answer 2

(√5 + √2)2
We need to apply the formula (a + b)2 = a2 +2ab + b2 to find value of (√5 + √2)2

(√5 + √2)2
= (√5)2 + 2 x √5 x √2 + (√2)2
= 5 + 2√10 + 2 =
7 + 2√10
*Therefore, on simplifying (√5 √2)2, we get 7+2√0.


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