Questions

BLANKS [1 Marks Each]

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8 questions · timed · auto-graded

Question 11 Mark
$\sqrt[]{...}=\sqrt[3]{7} \times \sqrt[3]{8 }$
Answer
$\sqrt[3]{\underline{7{\times8}}}=\sqrt[3]{7} \times \sqrt[3]{8 }$
Solution:
$\sqrt[3]{\underline{7{\times8}}}=\sqrt[3]{7} \times \sqrt[3]{8 }$
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Question 21 Mark
$\sqrt[]{\frac{512}{...}} = \frac{8}{13}$
Answer
13 × 13 × 13 = 2197
Solution:
$\because\sqrt[3]{\frac{512}{\underline{13}}}$
$=\frac{\sqrt[3]{8^3}}{{\sqrt[3]{13^3}}}$
$=\frac{8}{\underline{13}}$
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Question 31 Mark
$\sqrt[3]{...}={\sqrt[3]{4}}\times{\sqrt[3]{5}}\times\sqrt[3]{6}$
Answer
$\sqrt[3]{\underline{4\times5\times6}}=120$
Solution:
$\because\sqrt[3]{4\times5\times6}={\sqrt[3]{4}}\times{\sqrt[3]{5}}\times\sqrt[3]{6}$
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Question 41 Mark
$\sqrt[3]{\frac{729}{1331}}=\frac{9}{...}$
Answer
$\sqrt[3]{\frac{729}{1331}}=\frac{9}{\underline{11}}$
Solution:
$\because\sqrt[3]{\frac{729}{1331}}$
$=\frac{\sqrt[3]{27}}{{\sqrt[3]{1331}}}$
$=\frac{9}{\underline{11}}$
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Question 51 Mark
$\sqrt[3]{\frac{27}{125}}=\frac{...}{5}$
Answer
$\sqrt[3]{\frac{27}{125}}=\frac{\underline{3}}{5}$
Solution:
$\because\sqrt[3]{\frac{27}{125}}$
$=\sqrt[3]{\frac{27}{125}}$
$=\frac{\underline{3}}{5}$
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Question 71 Mark
$\sqrt[3]{480}=\sqrt[3]{3}\times2\times\sqrt[3]{...}$
Answer
$\sqrt[3]{480}=\sqrt[3]{3}\times2\times\sqrt[3]{\underline{20}}$
Solution:
$\because\sqrt[3]{480}=\sqrt[3]{\{2\times2\times2\}\times2\times2\times3\times5}$
$=2\times\sqrt[3]{3}\times\sqrt[3]{5\times2\times2}$
$=\sqrt[3]{3\times2\times\sqrt[3]{20}}$
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Question 81 Mark
$\sqrt[3]{1728}=4\times...$
Answer
$\sqrt[3]{1728}=4\times\underline3$
Solution:
$\because\sqrt[3]{1728}=12$
$=4\times\underline3$
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BLANKS [1 Marks Each] - MATHS STD 8 Questions - Vidyadip