gaokao 2015 Q14

gaokao · China · chongqing-arts 5 marks Solving quadratics and applications Optimization or extremal value of an expression via completing the square

Let $a , b > 0 , a + b = 5$. The maximum value of $\sqrt { a + 1 } + \sqrt { b + 3 }$ is $\_\_\_\_$ .

Let $a , b > 0 , a + b = 5$. The maximum value of $\sqrt { a + 1 } + \sqrt { b + 3 }$ is $\_\_\_\_$ .