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Algebra of Irrational numbers | Simplifying radicals | Addition of a rational and an Irrational

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Operations on Real Numbers

Algebra of real numbers

Addition of a rational and an irrational

The sum of one rational and one irrational number is an irrational number.

Difference of a rational and an irrational number (Which is non terminating and non-repeating.)

Difference of a rational and an irrational is irrational

Product of one rational and one irrational number.

This is non - terminating and non - repeating

The product of non-zero rational number and an irrational number is irrational.

l Quotient of a rational and irrational number

This is non - terminating and non - repeating number

This is an irrational number.

The quotient of a non-zero rational number and an irrational number is

irrational.

explain addition of two or more irrational numbers through examples.

Sum and difference of two irrational numbers may or may not be irrational.

Product (and Quotient) of two irrational numbers may and may not be irrational.

for example, has no square factors.

Simplifying radicals - A complete course in algebra

algebra Simplifying radicals

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