Surds

Simplify the following surd...

• 6√2

• 2√6

• 8√2

• 4√6

Simplify the following surd...

• 7√2

• 3√5

• 9√3

• 3√3

Expand and simplify ...

(2 + √3)(3 + √3)

• 9 + 5√3

• 6 + 6√3

• 9 + √3

• 15 + 5√3

Expand and simplify ...

(3 + 2√2)(1 + 3√2)

• 15 + 11√2

• 15 + 5√2

• 5 + 11√2

• 5 + 5√2

What is a rational number ?

• A rational number  is a number that cannot be written as a fraction.
• A rational number is a number that can be written as a ratio.
• A rational number cannot be a repeating  decimal.

What type of number is π ?

• Rational
• Irrational

Simplify fully: 
√32 + √12

• 4√2 +2√3
• 6√5
• √44
• 2√11

Expand and simplify.....

2√3(5√2 - 3√3)

• 10√6 - 6√9

• 10√6 - 18

• 7√6 - 5√9

• 7√6 - 18

Which statement relating to surds is incorrect?

• Surds are irrational numbers.
• The four operations can be performed on surds.
• Surds can be written as fractions.
• The radical sign acts as a grouping symbol.

√3  

• rational
• irrational