3.2 CHAPTER 3. SURDS
3.
√
a^2 b^3 ×√
b^5 c^4
=√
a^2 b^8 c^4
= ab^4 c^2Surd Law 2: n
�
a
b=
√na
√n
bEMBI
If we look atn
�a
bin exponential notationand apply the exponential laws then,n�
a
b=
�a
b�^1 n
(3.5)=
a
n^1
b
n^1=n√a
√n
bSome examples using this law:
1.
√
12 ÷
√
3
=
√
4
= 2
2.^3
√
24 ÷^3
√
3
=^3
√
8
= 2
3.
√
a^2 b^13 ÷√
b^5
=√
a^2 b^8
= ab^4Surd Law 3:
n√
a
m
=am
n EMBJIf we look atn
√
amin exponential notationand apply the exponential laws then,