Multiple Choice Question (MCQ)
The value of (\sqrt{2}+\sqrt{5} )^2 is
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×
7+2\sqrt{5}
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×
1+5\sqrt{2}
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✓
7+2\sqrt{10}
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×
7-2\sqrt{10}
Answer
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Apply the perfect square formula to expand the expression
(\sqrt{2}+\sqrt{5} )^2
=(\sqrt{2} )^2+2\sqrt{2}\cdot \sqrt{5} +(\sqrt{5} )^2
=2+2\sqrt{10}+5
=7+2\sqrt{10}