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Cube Root Using Prime Factorisation

Find the valu...

Question

Find the value of $x$ if : $x^{3} = 729$

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Solution

$x^{3} = 729$
$x^{3} = {(9)}^{3}$
$∴$ $x = 9$

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Similar questions

x^{3} = 729

x - \frac{1}{x} = 5

, find the value of

x^{3} - \frac{1}{x^{3}}

\sqrt[3]{\frac{x}{729}} + \sqrt[3]{\frac{8 x}{729}} + \sqrt[3]{\frac{27 x}{5832}} = 1

, then find the value of

x

.

If x+y+z=9 and xy+yz+zx = 23, the value of $(x^{3} + y^{3} + z^{3} - 3 x y z) = ?$

(a) 108

(b) 207

(c) 669

(d) 729

Q. If x + y + z = 9 and xy + yz + zx = 23, then the value of (x³ + y³ + z³ − 3xyz) = ?
(a) 108
(b) 207
(c) 669
(d) 729

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