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,  $\dpi{80} \fn_phv \large \sqrt [3]{0.003375}=\sqrt [3]{ \frac {3375}{1000000}}$

$\dpi{80} \fn_phv \large =\frac {15}{100}=0.15$

(ii) We have,  $\dpi{80} \fn_phv \large \sqrt [3]{1.331}=\sqrt [3]{\frac {1331}{1000}}=\frac {11}{10}=1.1$

(iii) We have,  $\dpi{80} \fn_phv \large \sqrt [3]{4.913}=\sqrt [3]{\frac {4913}{1000}}=\frac {17}{10}=1.7$

(iv)  We have,  $\dpi{80} \fn_phv \large \sqrt [3]{15.625}=\sqrt [3]{\frac {15625}{1000}}=\frac {25}{10}=2.5$

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