Question

The value of ( √5 + √2 )^2
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Answer 1

Answer:

7 + 2$\sqrt{10}$

Step-by-step explanation:

Formula:-

(A+B)²= A² + 2AB + B²-----(1)

Here,

A=$\sqrt{5}$

B=$\sqrt{2}$

Substituting the value of a nd b in equation (1)

($\sqrt{5}$ + $\sqrt{2}$)²=($\sqrt{5}$)²+2 x($\sqrt{5}$)($\sqrt{2}$) +($\sqrt{2}$)²   (∵√x × √x=x)

                =5 +2$(\sqrt{2}) (\sqrt{5})$ + 2   (∵√x × √y =√(xy))

                =7 +2$\sqrt{10}$

Hence the value of ($\sqrt{5}$ + $\sqrt{2}$)² = 7 +2$\sqrt{10}$

I hope this helps u!!!