is the mam al sqrt (2)+sqrt (4) work to support then claim is shown below an indicate whether the mident has provided correct rountaining ha support his Inday classes that the somal sqrt (2)+sqrt (4) because sqrt (4)=2 and sqrt (2)+2=sqrt (2+2)=sqrt (4)=2 tharelora sqrt (2)+sqrt (4)=2 is an intrger which Their chairs that the sum rid sqrt (2)+sqrt (4)=sqrt (2)+2 is an irrational number because ill y=(sqrt (2)+2) and y is a rational number then 1.2 number, but sinca p-2-(sqrt (2)+1)-2=sqrt (2) and sqrt (2) is an inational number,number. ol sqrt (2)+sqrt (4) an inakonal number becabue sqrt (2)+sqrt (4)=sqrt (2)+2=2sqrt (2) and although? is a rational number. sqrt (2) is ani erational number and therefore 2sqrt (2) 2times sqrt (2) is an imalional number.

The student has not provided sufficient support for their claim that is an integer. Let's analyze the given information:1. , which is correct.2. , which is incorrect. The correct calculation should be , which is not equal to .Therefore, the student's claim that is incorrect.To determine whether is a rational or irrational number, we need to consider the properties of rational and irrational numbers.A rational number can be expressed as a fraction, where the numerator and denominator are both integers. An irrational number cannot be expressed as a fraction and has a non-repeating, non-terminating decimal expansion.In this case, is an irrational number because it cannot be expressed as a fraction and has a non-repeating, non-terminating decimal expansion. , on the other hand, is a rational number because it can be expressed as the fraction .When we add and , we get . Since is irrational and is rational, their sum is also irrational. Therefore, is an irrational number.In conclusion, the student's claim that is an integer is incorrect. The correct answer is that is an irrational number.