Answer:
3
Step-by-step explanation:
[tex](\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}[/tex]
plus root 10 and minus root 10 gets cancel . So,
[tex]\sqrt{25} - \sqrt{4} \\\sqrt{5^{2} } - \sqrt{2^{2} }[/tex]
square and root gets cancel
5 - 2
3
