Name the property of real numbers illustrated by the equation 2 + (√(5) + 7)) = (2 + √(5)) + 7
Distributive Property
Associative Property Of Addition
Associative Property Of Multiplication
Commutative Property Of Multiplication

Solution:

The expression given in the problem statement is:

2 + (√(5) + 7)) = (2 + √(5)) + 7

One of the properties of real numbers is associative property of addition.

If there are three real numbers a, b, and c then the associative property of addition can be depicted as:

a + (b + c) = (a + b) + c --- (1)

So considering the given problem we can compare it with the expression in (1) and infer:

a = 2, b = √(5), c = 7

Therefore we can state the expression:

2 + (√(5) + 7)) = (2 + √(5)) + 7 is an associative property of addition of real numbers

Name the property of real numbers illustrated by the equation 2 + (√(5) + 7)) = (2 + √(5)) + 7

Summary:

The property of real numbers illustrated by the equation 2 + (√(5) + 7)) = (2 + √(5)) + 7 is associative property of addition.