Maths / Cube and Cube Roots / Cube Root by Prime Factorisation

QUESTION
 

Find the cube root of :

1.0.003375 = P.
2.1.331 = Q.
3.4.913 = R
4.15.625 = S.
OPTIONS
A. 

P - 0.215 , Q - 1.31 , R - 2.7 ,  S - 2.55

B. 

P - 0.115 , Q - 1.11 , R - 1.17 , S - 3.25

C. 

P - 0.15 , Q - 1.1 , R - 1.7 ,  S - 2.5

D. 

P - 0.25 , Q - 1.21 , R - 2.17 , S - 4.15

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

(i) We have,  large sqrt [3]{0.003375}=sqrt [3]{ frac {3375}{1000000}}

           large =frac {15}{100}=0.15

(ii) We have,  large sqrt [3]{1.331}=sqrt [3]{frac {1331}{1000}}=frac {11}{10}=1.1

(iii) We have,  large sqrt [3]{4.913}=sqrt [3]{frac {4913}{1000}}=frac {17}{10}=1.7

(iv)  We have,  large sqrt [3]{15.625}=sqrt [3]{frac {15625}{1000}}=frac {25}{10}=2.5

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