Year 10 Interactive Maths - Second Edition

Roots

Rational Numbers

Note:

Example 1

Solution:

Irrational Numbers

A number that can not be expressed in the form of a ratio is called an irrational number.

Example 2

Solution:

Note:

From this, we can infer that:

Real Numbers

Surds

Note:

A surd has an infinite number of non-recurring decimals. So, surds are irrational numbers.

Example 3

Solution:

Key Terms

positive square root, principal square root, radicand, root sign, radical, root, rational number, irrational number, real number, surd