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Relation between Square and Square Root

Question 2 ii...

Question

Question 2 (iii)
Simplify :
${(\sqrt{5} + \sqrt{2})}^{2}$ .

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Solution

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

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Relation between Square and Square Root

Standard IX Mathematics

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