Question

(√5+√2) (√5+√2)
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Answer 1

Step-by-step explanation:

(√5+√2)(√5+√2)=(√5+√2)²   [(a+b)(a+b)=(a+b)²]

(√5)²+2(√5)(√2)+(√2)²  [(a+b)²= a²+2ab+b²]

5+2√10+2 = 7+2√10

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Answer 2

Answer:

$7+2\sqrt{10}$

Step-by-step explanation:

$(\sqrt{5} +\sqrt{2} )(\sqrt{5} +\sqrt{2} )$

For this question we can use the identity $(a+b)^{2}$ as $(a+b )*(a+b)=(a+b)^{2}$

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

Now, $(a+b)^{2} =a^{2} +2ab+b^{2}$

Therefore,

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

Which can be also written as

$5+2+2\sqrt{10}\\=7+2\sqrt{10}$