Answer:
5[tex]\sqrt{2}[/tex] + [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{5}[/tex]([tex]\sqrt{10}[/tex] + [tex]\sqrt{2}[/tex]) ← distribute
= [tex]\sqrt{50}[/tex] + [tex]\sqrt{10}[/tex]
= [tex]\sqrt{25(2)}[/tex] + [tex]\sqrt{10}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] + [tex]\sqrt{10}[/tex]
= 5[tex]\sqrt{2}[/tex] + [tex]\sqrt{10}[/tex]
