surds Flashcards
1
Q
√3 x √5
A
√15
2
Q
√7 x √2
A
√14
3
Q
√11 x √6
A
√66
4
Q
√2 x √5 x √3
A
√30
5
Q
simplifying surds example
√8
A
first find a square number that goes into 8
2,4,9,16,25 ect
4 goes into 8 twice so you write:
√8= √4x2
√4 x √2
√4 = 2
so you can just write the answer as
2√2
6
Q
simplify this surd
√75
A
=√25x3
=√25 x √3
=5√3
7
Q
simplify this surd
√20
A
=√4x5
=√4 x √5
=2√5
8
Q
simplify this surd
√32
A
=√16x2
=√16 x √2
=4√2
9
Q
2√3 x 3√5=
A
2 x √3 x 3 x √5
change order of operations
2 x 3 x √3 x √5
= 6 x √15
= 6√15
10
Q
√6 x √6
A
6
11
Q
√7 x √7
A
7
12
Q
√2 x √2
A
2
13
Q
adding surds
√8 + √50
A
√8 = √4x2 √50 = √25x2
= √4 x √2 = √25 x √2
=2√2 = 5√2
2√2 + 5√2 = 7√2
14
Q
rationalising denominators
A
