Question

nếu \(\sqrt{16-2\sqrt{55}}=\sqrt{a}-\sqrt{b}\) với \(a,b\in Z\) thì a+b=?

Answer 1

\(\sqrt{16-2\sqrt{55}}=\sqrt{\left(\sqrt{11}-\sqrt{5}\right)^2}=\sqrt{11}-\sqrt{5}\)

suy ra a=11;b=5

suy ra a+b=11+5=16

Answer 2

 a+b=16

 

Answer 3

Nếu \(\sqrt{16-2\sqrt{55}}=\) \(\sqrt{a}-\sqrt{b}\) với \(a,b\)\(EZ\)thì a + b = 16.