Question

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Answer 1

Answer:

Explanation:

a) $\sqrt[3]{681472} =$  88

681472= The prime factors are: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11 x 11

   $\sqrt[3]{681472} =$ 2 ×2×2× 11 = 88

b)35.937 = $\frac{35937}{1000}$

$\sqrt[3]{35.937}$= $\sqrt[3]{\frac {35937}{1000} }$ = 3.3

The prime factors are: 3 x 3 x 3 x 11 x 11 x 11 = $\frac{33}{10}$= 3.3

                                           10  × 10 × 10

c) $\sqrt[3]{\frac{2744}{12167} }$  = $\frac{\sqrt[3]{2744} }{\sqrt[3]{12167} }$= $\frac{14}{23}$

The prime factors  of 2744 =  2 x 2 x 2 x 7 x 7 x 7

The prime factors  of 12167= 23x23x23.

d) $\sqrt[3]{0.024389} = \sqrt[3]{\frac{24389}{1000000} } =$ $\frac{ \sqrt[3]{24389} }{\sqrt[3]{1000000} }$ = $\frac{ 29}{100}$ = 0.29

The prime factors  of 24389= 29 x 29 x 29

The prime factors  of 1000000 = 10 × 10 × 10 × 10 × 10 × 10

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