Simplify- -8-16-100-49-125

The correct option is B 13/4 √(8)√(16)÷√(100)√(49)×√(125) = 24÷107× 5 =24×710× 5 =74=134 ...

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Standard XII

Mathematics

Integration of Irrational Algebraic Fractions - 1

Simplify: √...

Question

Simplify: $\frac{\sqrt[3]{8}}{\sqrt{16}} \div \frac{\sqrt{100}}{\sqrt{49}} \times \sqrt[3]{125}$

7

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1 \frac{3}{4}

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\frac{7}{100}

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1 \frac{4}{7}

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Solution

The correct option is B $1 \frac{3}{4}$
$\frac{\sqrt[3]{8}}{\sqrt{16}} \div \frac{\sqrt{100}}{\sqrt{49}} \times \sqrt[3]{125}$
$= \frac{2}{4} \div \frac{10}{7} \times 5$
$= \frac{2}{4} \times \frac{7}{10} \times 5$
$= \frac{7}{4} = 1 \frac{3}{4}$

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Q. 2, 20, 19, 12, 14 ; 3, 13, 12, 16, 15 ; 4, 14, 16, 8, 7 ; ?

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
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(2) (1/3)⁴*(-27/4)²*(-8/3)²

Q. Simplify the following :
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14 [- 24 \div {- 8 + 2} - 3 (- 7 + 3)]

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\frac{7^{- 3} \times 12^{- 3} \times 3^{- 4} \times 49}{6^{- 4} \times 7^{- 1} \times 2^{- 4}}

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Simplify: 3√8√16÷√100√49×3√125

The correct option is B 1343√8√16÷√100√49×3√125=24÷107×5=24×710×5=74=134

Simplify: $\frac{\sqrt[3]{8}}{\sqrt{16}} \div \frac{\sqrt{100}}{\sqrt{49}} \times \sqrt[3]{125}$

The correct option is B $1 \frac{3}{4}$
$\frac{\sqrt[3]{8}}{\sqrt{16}} \div \frac{\sqrt{100}}{\sqrt{49}} \times \sqrt[3]{125}$
$= \frac{2}{4} \div \frac{10}{7} \times 5$
$= \frac{2}{4} \times \frac{7}{10} \times 5$
$= \frac{7}{4} = 1 \frac{3}{4}$