Question

Name the property of irrational numbers illustrated by the equation.

$\sqrt{5}(\sqrt{5}+\sqrt{2})=5+\sqrt{1}0$

• A. Associative Property of Addition
• B. Distributive Property
• C. Associative Property of Multiplication
• D. Commutative Property of Multiplication

Answer 1

The correct option is B Distributive Property

Distributive Property states that
$a\times (b+c)=a\times b+a\times c$

Here $\sqrt{5}(\sqrt{5}+\sqrt{2})=\sqrt{5}\times \sqrt{5}+\sqrt{5}\times \sqrt{5}$
$=5+\sqrt{1}0$

Hence the given equation illustrates distributive Property of irrational numbers.