Question

Name the property of real numbers illustrated by the equation 2*(√8*7)=(2*√8)*7

Answer 1

Associative property of mulipication, the ability to move parenthasees with mltipication or additon

Answer 2

Answer:

The property that is illustrated by the equation is:

                   Associative property of multiplication      

Step-by-step explanation:

Associative property--

It states that the elements can be added or multiplied no matter in which order the elements are grouped.

i.e.

a+(b+c)=(a+b)+c

This is the associative property of addition.

and

a×(b×c)=(a×b)×c

This is the associative property of multiplication.

Commutative Property--

It states that two elements of the set when operated gives the resultant as the same when the two are operated in any order.

i.e.

a+b=b+a  This is commutative property of addition.

and

a×b=b×a This is the commutative property of multiplication.

Distributive Property--

Also, for any three elements a,b,c by the distributive property states that:

   a(b+c)=ab+ac

Here we have the equation as:

            $2\times (\sqrt{8}\times 7)=(2\times \sqrt{8})\times 7$

This is the associative property of multiplication.