2. SURDS: Let a be a rational number and n be a positive integer such that a^{1/n} = ^{n}sqrt(a) is irrational. Then ^{n}sqrt(a) is called a surd of order n.

3. LAWS OF SURDS:

(i) √a = a^{1/2} (ii) n √ab = n √a * n √b (iii) n √a/b = n √a / n √b (iv) (n √a)^{n} = a (v) m√(n√(a)) = mn√(a) (vi) (n√a)^{m} = n√a^{m}

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1. LAWS OF INDICES:

(i) a

^{m}x a^{n}= a^{m+ n}(ii) a

^{m}/ a^{m}= a^{m-n}(iii) (a

^{m})^{n}= a^{mn}(iv) (ab)

^{n}= a^{n}b^{n}(v) ( a/ b )

^{n}= ( a^{n}/ b^{n})(vi) a0 = 1

2. SURDS: Let a be a rational number and n be a positive integer such that a

^{1/n}=^{n}sqrt(a)is irrational. Then

^{n}sqrt(a) is called a surd of order n.3. LAWS OF SURDS:

(i) √a = a

^{1/2}(ii) n √ab = n √a * n √b

(iii) n √a/b = n √a / n √b

(iv) (n √a)

^{n}= a(v) m√(n√(a)) = mn√(a)

(vi) (n√a)

^{m}= n√a^{m}