Q34. Name the property illustrated by... [FREE SOLUTION]

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Chapter 1: Q34. (page 15)

Name the property illustrated by each equation.
$2 \sqrt{3} + 5 \sqrt{3} = (2 + 5) \sqrt{3}$

Short Answer

Expert verified

Name of the property illustrated is Distributive.

Step by step solution

- Write properties of real numbers

Properties of real numbers are written in following table

For any real numbers $a, b,$ and $c :$
Property	Addition	Multiplication
Commutative	$a + b = b + a$	$a 路 b = b 路 a$
Associative	$(a + b) + c = a + (b + c)$	$(a 路 b) 路 c = a 路 (b 路 c)$
Identity	$a + 0 = a = 0 + a$	$a 路 1 = a = 1 路 a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a 鈮� 0$ , then $a 路 \frac{1}{a} = 1 = \frac{1}{a} 路 a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Substitution in given values

Substitute a for $\sqrt{3}$ , b for 2 and c for 5 in given equation

Now equation becomes $b a + c a = (b + c) a$

- Identify the property

From the table of properties of real numbers, $b a + c a = (b + c) a$ is the property of distributive.

Thus, distributive property is illustrated by given equation.

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91影视

Name the property illustrated by each equation.
$2 \sqrt{3} + 5 \sqrt{3} = (2 + 5) \sqrt{3}$

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

One App. One Place for Learning.

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91影视

Name the property illustrated by each equation.23+53=2+53

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
$2 \sqrt{3} + 5 \sqrt{3} = (2 + 5) \sqrt{3}$