Question

write the properties of irrational number. ​

Answer 1

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The properties of irrational number are:-

• Irrational number satisfy the commutative, associative, distributive laws of addition and multiplication.
• Quotient of two irrationals need not be am irrational.
• Product of two irrationals need not be an irrational.

Answer 2

Step-by-step explanation:

Properties of Irrational Numbers

Addition and Subtraction of Irrational numbers

1. The result of an addition of irrational numbers need not be an irrational number

(2 + √3) + (4 – √3) = 2 + √3 + 4 – √3 = 6. Here 6 is a rational number. So the result of adding two irrational numbers is not an irrational number.

2. The result of Subtraction of irrational number need not be an irrational number

(5+ √2 ) + (3 + √2) = 5+ √2 + 3 + √2 = 2. Here 2 is a rational number.

Multiplication and Division of Irrational numbers

1. The product of two irrational numbers can be rational or irrational number.

√2 × √3= 6. Here the result is a rational number.

2. The result of the division of two irrational numbers can be rational or irrational number.

√2 ÷ √3 =\( \frac{√2}{√3} \). Here the result is an irrational number.