Step-by-step explanation:
For: [tex]\frac{5\sqrt{4}}{\sqrt{3}}[/tex]
Multiply the nominator and denominator by [tex]\sqrt{3\\}[/tex]
This makes [tex]\frac{5\sqrt{12} }{3}[/tex].
You then simplify it, which gets [tex]\frac{10\sqrt{3} }{3}[/tex] because you remove [tex]\sqrt{4}[/tex] from the [tex]5\sqrt{12}[/tex]. The [tex]\sqrt{4}[/tex] becomes 2 and you can multiply that by 5 to make 10 and that's why you're left with [tex]\frac{10\sqrt{3} }{3}[/tex].
All the other solutions follow this exact same method!
