Answer:
The side length 7√+2 an irrational number.
Explanation:
Consider the provided side length 7√+2
The number √+2 can be written as: √2
The value of √2 is: 1.1442135.....
Now consider the definition of rational and irrational number.
Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.
Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.
The number √2 is an irrational number as the decimal expansion of numbers is neither terminate nor periodic.
Any number multiply by an irrational number gives an irrational number.
Thus, the side length 7√+2 an irrational number.