Question
Making use of the cube root table, find the cube root 5112
✓
Answer
By prime factorisation, we have:
$5112=2^3 \times 3^2 \times 71$
$\Rightarrow \sqrt[3]{5112}$
$=2 \times \sqrt[3]{9} \times \sqrt[3]{71}$
By the cube root table, we have:
$\sqrt[3]{9}=2.080 \text { and } \sqrt[3]{71}=4.141$
$\therefore \sqrt[3]{5112}$
$=2 \times \sqrt[3]{9} \times \sqrt[3]{71}$
$=2 \times 2.080 \times 4.141$
$=17.227 \text { (upto three decimal places) }$
Thus, the required cube root is 17.227 .
$5112=2^3 \times 3^2 \times 71$
$\Rightarrow \sqrt[3]{5112}$
$=2 \times \sqrt[3]{9} \times \sqrt[3]{71}$
By the cube root table, we have:
$\sqrt[3]{9}=2.080 \text { and } \sqrt[3]{71}=4.141$
$\therefore \sqrt[3]{5112}$
$=2 \times \sqrt[3]{9} \times \sqrt[3]{71}$
$=2 \times 2.080 \times 4.141$
$=17.227 \text { (upto three decimal places) }$
Thus, the required cube root is 17.227 .
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The railway fare for 61km is Rs. 183. Find the fare for 53km.
Find the angle measure x in the given figure.
Find the area enclosed by the given figure ABCDEF as per dimensions given herewith.
Simplify:
$\Big(\frac{13}{9}\times\frac{-15}{2}\Big)+\Big(\frac{7}{3}\times\frac{8}{5}\Big)+\Big(\frac{3}{5}\times\frac{1}{2}\Big)$
→$\Big(\frac{13}{9}\times\frac{-15}{2}\Big)+\Big(\frac{7}{3}\times\frac{8}{5}\Big)+\Big(\frac{3}{5}\times\frac{1}{2}\Big)$
$95 \times 105$
→Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
Find the product:
$\frac{6\text{x}}{5}\big(\text{x}^3+\text{y}^3)$
→$\frac{6\text{x}}{5}\big(\text{x}^3+\text{y}^3)$
Add the following algebric expressions:
$\frac{11}{2}\text{xy}+\frac{12}{5}\text{y}+\frac{13}{7}\text{x},$$-\frac{11}{2}\text{y}-\frac{12}{5}\text{x}-\frac{13}{7}\text{xy}$
→$\frac{11}{2}\text{xy}+\frac{12}{5}\text{y}+\frac{13}{7}\text{x},$$-\frac{11}{2}\text{y}-\frac{12}{5}\text{x}-\frac{13}{7}\text{xy}$
Write the following rational numbers in decimal form. : $\frac{9}{14}$
→In a 3-digit number, the tens digit is thrice the units digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number.