If \(\sqrt{a}+\sqrt{b}=5\sqrt2,\) and \(a\cdot b=144,\) what is the value of \(a+b?\)

[M7MBA]

If \(\sqrt{a}+\sqrt{b}=5\sqrt2,\) and \(a\cdot b=144,\) what is the value of \(a+b?\)

A. \(\sqrt{26}\)
B. \(\sqrt{38}\)
C. \(\sqrt{338}\)
D. \(26\)
E. \(38\)

Answer: D

Source: EMPOWERgmat