Class:- IX Ls:- Number System Q1. Simplify the following :- a) (1³+2³+3³)^1/2 b) 9^1/3×27^-1/2×3^1/4 Q2. Rationalise the denominatar of the following :- a) 3+√2÷4√2 b) 3√5+√3÷√5-√3 c) √2+√3÷3√2-2√3
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Answer:
Q1.
a) (1^3+2^3+3^3)^1/2
= (1+8+27)^1/2
= (36)^1/2
= (6^2)^1/2
= 6^2×1/2
= 6
c) = (18)^1/4 - 8×(6^3)^1/3
= (3^4)^1/4 - 8×(6^3)^1/3
= 3^4×1/4 - 8×6^3×1/3
= 3- 8×6
= 3-48
= -45
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