Answer:
A) [tex]\frac{\sqrt{2} }{2}\\[/tex], B) [tex]\sqrt{4}[/tex]
Step-by-step explanation:
A) [tex]\sqrt{\frac{5}{10} } = \frac{\sqrt{5} }{\sqrt{10} } = \frac{\sqrt{5} }{\sqrt{5} \sqrt{2} } = \frac{1}{\sqrt{2} } . \frac{\sqrt{2} }{\sqrt{2} } = \frac{\sqrt{2} }{2}[/tex]
B) [tex]\sqrt{\frac{12}{3} } = \frac{\sqrt{12} }{\sqrt{3} } = \frac{\sqrt{3}\sqrt{4} }{\sqrt{3} } = \sqrt{4}[/tex]