Simplify 7-40-3-625-4-320

The correct option is C 13√(5) 7√(40)+3√(625) 4√(320) = 7√(40)+3√(625) 4√(320) =7 √(8 × 5)+3 √(125 × 5) 4 √(64 × 5) =14 √(5)+15 √(5) 1 ...

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Byju's Answer

Standard IX

Mathematics

Surds

Simplify 7√...

Question

Simplify
$7 \sqrt[3]{40} + 3 \sqrt[3]{625} - 4 \sqrt[3]{320}$

7 \sqrt[3]{5}

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13 \sqrt[3]{3}

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13 \sqrt[3]{5}

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13 \sqrt[4]{5}

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Solution

The correct option is C $13 \sqrt[3]{5}$
$7 \sqrt[3]{40} + 3 \sqrt[3]{625} - 4 \sqrt[3]{320}$
$= 7 \sqrt[3]{40} + 3 \sqrt[3]{625} - 4 \sqrt[3]{320}$
$= 7 \sqrt[3]{8 \times 5} + 3 \sqrt[3]{125 \times 5} - 4 \sqrt[3]{64 \times 5}$
$= 14 \sqrt[3]{5} + 15 \sqrt[3]{5} - 16 \sqrt[3]{5} = \sqrt[3]{5} (14 + 15 - 16)$
$= 13 \sqrt[3]{5}$

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Similar questions

Q. Simplify

\frac{2}{5} + \frac{3}{7} + (\frac{- 6}{5}) + (\frac{- 13}{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) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. If 7 * 3 = 52; 9 * 5 = 86; 3 * 4 = 13 then 5 * 7 = ?

Q. Simplify

(i)

\frac{4 + \sqrt{5}}{4 - \sqrt{5}} + \frac{4 - \sqrt{5}}{4 + \sqrt{5}}

(ii)

\frac{1}{\sqrt{3} + \sqrt{2}} - \frac{2}{\sqrt{5} - \sqrt{3}} - \frac{3}{\sqrt{2} - \sqrt{5}}

(iii)

\frac{2 + \sqrt{3}}{2 - \sqrt{3}} + \frac{2 - \sqrt{3}}{2 + \sqrt{3}} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1}

(iv)

\frac{2 \sqrt{6}}{\sqrt{2} + \sqrt{3}} + \frac{6 \sqrt{2}}{\sqrt{6} + \sqrt{3}} - \frac{8 \sqrt{3}}{\sqrt{6} + \sqrt{2}}

Q. Simplify:

(\frac{13}{15} - \frac{3}{5}) \div (\frac{13}{15} + \frac{3}{5})

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Simplify 73√40+33√625−43√320

The correct option is C 133√573√40+33√625−43√320=73√40+33√625−43√320=73√8×5+33√125×5−43√64×5=143√5+153√5−163√5=3√5(14+15−16)=133√5

Simplify
$7 \sqrt[3]{40} + 3 \sqrt[3]{625} - 4 \sqrt[3]{320}$