-512-729 - - a -7-9 b -8-9 c 7-9 d 8-9

√( 512/729) = √(( 8)( 8)( 8)/9 × 9 × 9) = √(( 8)^3/(9)^3) = 8/9 ...

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Byju's Answer

Standard VIII

Mathematics

Cube Roots

√-512/729 = ?...

Question

$\sqrt[3]{\frac{- 512}{729}}$ = ?
(a) $\frac{- 7}{9}$ (b) $\frac{- 8}{9}$
(c) $\frac{7}{9}$ (d) $\frac{8}{9}$

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Solution

$\sqrt[3]{\frac{- 512}{729}} = \sqrt[3]{\frac{(- 8) (- 8) (- 8)}{9 \times 9 \times 9}} = \sqrt[3]{\frac{(- 8)^{3}}{(9)^{3}}} = \frac{- 8}{9}$

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Similar questions

$\sqrt[3]{512}$ = ?
(a) 6 (b) 7
(c) 8 (d) 9

Question 18
Which of the following is not true?
(A) $(7 + 8) + 9 = 7 + (8 + 9)$
(B) $(7 \times 8) \times 9 = 7 \times (8 \times 9)$
(C) $7 + 8 \times 9 = (7 + 8) \times (7 + 9)$
(D) $7 \times (8 + 9) = (7 \times 8) + (7 \times 9)$

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & a . {3, 4, 6, 7} 2. A \cap B & b . \emptyset 3. (B \cap C) \cup D & c . {3, 4} 4. B \cup C \cup D & d . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & e . {1, 2, 3, 4, 5, 6, 7} f . {6, 7, 8, 9, 10} g . {7} \end{matrix}$

Q. Which of the following will come next in the following series?

919829873987649876559876546987654

Q. How many 9's are there which come after 6 or multiple of 3 ? 6 9 9 9 6 9 7 9 6 9 7 9 5 9 2 9 8 9 6 9 6 9 9 9 9 7 9 8 9 6 9 7 8

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3√−512729 = ? (a) −79 (b) −89 (c) 79 (d) 89

3√−512729=3√(−8)(−8)(−8)9×9×9=3√(−8)3(9)3=−89

$\sqrt[3]{\frac{- 512}{729}}$ = ?
(a) $\frac{- 7}{9}$ (b) $\frac{- 8}{9}$
(c) $\frac{7}{9}$ (d) $\frac{8}{9}$

$\sqrt[3]{\frac{- 512}{729}} = \sqrt[3]{\frac{(- 8) (- 8) (- 8)}{9 \times 9 \times 9}} = \sqrt[3]{\frac{(- 8)^{3}}{(9)^{3}}} = \frac{- 8}{9}$