Question
Find the cube root of $10648$ by prime factorisation method.
✓
Answer
Prime factorisation of $10648$ is
$2 \times 2 \times 2 \times 11 \times 11 \times 11$ [grouping the factors in triplets]
$= 2^3 \times 11^3$
Therefore, $\sqrt[3]{{10648}} = 2 \times 11 = 22$
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
Find the value of $x$ in the trapezium $ABCD$ given below.
→Add: $7x, -3x, 5x, -x, -2x$
→Write down the number of faces of the following figures: Square pyramid.
Factorise: $(x + y)(2x + 5) - (x + y)(x + 3)$
→What is that fraction which when multiplied by itself gives $227.798649$?
→$\underline{\ \ \ \ \ \text{B}\ \ \text{A} \ \ \text{A}\\\text{+}\ \ \text{B}\ \ \text{A} \ \ \text{A}\ }\\\underline{\ \ \ \ 3\ \ \ \text{A}\ \ \ 8\ }$
→A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m . Find the quantity of milk (in litres) that can be stored in the tank?
TIPS Here, the required quantity of milk will be equal to the volume of cylindrical tank. So, firstly find the volume of cylindrical tank and then convert it into litres using $1 m^3=1000 L$.
→TIPS Here, the required quantity of milk will be equal to the volume of cylindrical tank. So, firstly find the volume of cylindrical tank and then convert it into litres using $1 m^3=1000 L$.
Build a square garden. Divide the square garden into four rectangular flower beds in such a way that each flower bed is as long as one side of the square. The perimeter of each flower bed is 40 m .
(i) Draw a diagram to represent the above information.
(ii) Mention the expression for perimeter of the entire garden.
(i) Draw a diagram to represent the above information.
(ii) Mention the expression for perimeter of the entire garden.
What is a regular polygon? State the name of a regular polygon of $3$ sides.
→Test the divisibility of the following numbers by $7: 3467$
→