advance calculus prove help

[usmaniiui]

if 0<a<b show that a< sqrt ab <b

plz help me how to prove it

 

[daon2]

Multiplying through by a gives you what? What about multiplyting through by b?

 

[HallsofIvy]

Of course, you also need to know that "if 0<a< b then \(\displaystyle \sqrt{a}< \sqrt{b}\). Have you already proved that or do you need to prove it now?