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user100 [1]
3 years ago
9

Expand and simplify (V5-V2)(V2+V5)

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

3

Step-by-step explanation:

(\sqrt{5} - \sqrt{2})(\sqrt{2} + \sqrt{5})\\\sqrt{5} (\sqrt{2} + \sqrt{5}) - \sqrt{2} (\sqrt{2} + \sqrt{5})\\\sqrt{5} * \sqrt{2} + \sqrt{5} * \sqrt{5} - \sqrt{2} * \sqrt{2} +\sqrt{2} * \sqrt{5}\\ \sqrt{5*2} + \sqrt{5*5} - \sqrt{2*2} - \sqrt{2*5}\\\sqrt{10} + \sqrt{25} - \sqrt{4}  - \sqrt{10}

plus root 10 and minus root 10 gets cancel . So,

\sqrt{25} - \sqrt{4} \\\sqrt{5^{2} } - \sqrt{2^{2} }

square and root gets cancel

5 - 2

3

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