Surds | Algebra | Maths | FuseSchool

In this video, Lucy introduces the concept of surds, which are square roots that cannot be simplified to whole numbers. She explains their properties, provides examples, and highlights their importance in mathematics, particularly in maintaining accuracy. The video also covers the process of simplifying surds, with examples and practice questions to reinforce learning. The next video will explore operations with surds.

What is a surd?

• A fraction

• A whole number

• A decimal number

• A square root that cannot be simplified to a whole number

Which of the following is NOT a surd?

• Square root of 3

• Square root of 25

• Square root of 2

• Square root of 5

Why are surds useful in Pythagoras' theorem?

• They provide more accurate results than decimals

• They are always whole numbers

• They are easier to calculate

• They simplify to fractions

What is the simplified form of the square root of 180?

• 5 root 6

• 9 root 2

• 3 root 20

• 6 root 5

Which of the following is a step in simplifying surds?

• Rounding the surd to the nearest whole number

• Converting the surd to a fraction

• Finding a square number that divides the surd

• Finding a cube number that divides the surd