Find the cube root of 216 × 729.

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Solution

216 is the cube of 6 as 216 can be expressed as $(6 \times 6 \times 6) .$

729 is the cube of 9 as 729 can be expressed as $(9 \times 9 \times 9) .$

$\sqrt[3]{6 \times 6 \times 6}$ $\times$ $\sqrt[3]{9 \times 9 \times 9}$

= $6 \times 9$

So the cube root of the product will be 6 × 9 = 54.

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Similar questions

Find the cube root of 216 × 729.

Find the cube root of $729 \times 216$ .

The product of the cube root of 216 × 729 is 54

Find the cube-roots of:

(i) $\frac{27}{64}$ (ii) $\frac{125}{216}$ (iiii) $\frac{343}{512}$

(iv) $64 \times 729$ (v) $64 \times 27$ (vi) $729 \times 8000$

(vii) $3375 \times 512$

Find the cube-roots of :

(i) $700 \times 2 \times 49 \times 5$ (ii) $- 216 \times 1728$ (iii) $- 64 \times - 125$

(iv) $- \frac{27}{343}$ (v) $\frac{729}{- 1331}$ (vi) 250.047 (vii) -175616

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