Surds

Question 0

Leave the answer in a square root if it is a

Answer 0

Surd

Question 1

Definition of a surd

Answer 1

A surd is a square root which cannot be written; its a non terminating decimal

Question 2

What are the three forms of rational numbers

Answer 2

A whole number
A fraction
A terminating/recurring decimal

Question 3

What are the two forms of irrational numbers

Answer 3

Never ending, non repeating decimals

Square/cube roots of non square/cube numbers

Question 4

You …. multiply surds

Answer 4

Can

Eg (sqr)2 x (sqr)3 = (sqr)6

Question 5

(Sqr)a/(sqr)b =

Answer 5

(Sqr)a/b

Question 6

(Sqr)a + (sqr)b =

Answer 6

The same answer (cannot simplify)

Question 7

[(a + (sqr)b) sq] =

Answer 7

( a + (sqr)b) ( a + (sqr)b)

a(sq) + 2a (sqr)b + b

Question 8

You cant leave a …. In the denominator

Answer 8

Surd, therefore you must rationalise the denominator

Question 9

If the question asks for an exact answer (length for example), you must give the answer

Answer 9

In the surd form (cm/m), only round to d.p.s if the question asks to do so

Question 10

We rationalise a surd because

Answer 10

We don’t want the roots in the denominator

Question 11

Rationalising just means multiplying the …… By the unwanted surd in the denominator

Answer 11

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