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

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Solution

$\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} = \sqrt[3]{2^{3} \times 2^{3} \times 2^{3}} = 2 \times 2 \times 2 = 8$

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$\sqrt[3]{\frac{64}{343}}$ = ?
(a) $\frac{4}{9}$ (b) $\frac{4}{7}$
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If
A = {1, 2, 3, 4}

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

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

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

If one root of the equation $2 x^{2} + a x + 6 = 0$ is $3$ , then find the value of $a$

Subtract : 9a – 6b from -8a + 9b

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3√512 = ? (a) 6 (b) 7 (c) 8 (d) 9

3√512=3√2×2×2×2×2×2×2×2×2=3√23×23×23=2×2×2=8

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

$\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} = \sqrt[3]{2^{3} \times 2^{3} \times 2^{3}} = 2 \times 2 \times 2 = 8$