The value of x in -512x - 813 is

√(512x) = 813 √(8 × 8 × 8x) = 813 8√(x) = nbsp;813 So, the x is equal to the cube of 13. Now, 13^3=13 ×13 ×13=2197 Thus, the value of x is 2197. So, the optio ...

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Standard VIII

Mathematics

Cube Roots

The value of ...

Question

The value of x in $\sqrt[3]{\frac{512}{x}} = \frac{8}{13}$ is

169

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2197

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Solution

The correct option is D 2197
$\sqrt[3]{\frac{512}{x}} = \frac{8}{13}$
$\sqrt[3]{\frac{8 \times 8 \times 8}{x}} = \frac{8}{13}$
$\frac{8}{\sqrt[3]{x}} = \frac{8}{13}$
So, the x is equal to the cube of 13.
Now, $13^{3} = 13 \times 13 \times 13 = 2197$
Thus, the value of x is 2197.
So, the option (4) is correct.

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The value of x in 3√512x=813 is

The correct option is D 21973√512x=813 3√8×8×8x=813 83√x=813 So, the x is equal to the cube of 13. Now, 133=13×13×13=2197 Thus, the value of x is 2197. So, the option (4) is correct.

The value of x in $\sqrt[3]{\frac{512}{x}} = \frac{8}{13}$ is