MCQ
The simplest rationalising factor of $\sqrt[3]{500}$, is
- A$\sqrt{3}$
- ✓$\sqrt[3]{2}$
- C$2 \sqrt{3}$
- D$\sqrt[3]{5}$
✓
Answer
Correct option: B.
$\sqrt[3]{2}$
$\sqrt[3]{500}$
$=\sqrt[3]{5 \times 2 \times 5 \times 2 \times 5}$
$=\sqrt[3]{5 \times 5 \times 5 \times 2 \times 2}$
$=5 \sqrt[3]{2 \times 2}$
$=5 \sqrt[3]{4}$
The simplest rationalising factor of $\sqrt[3]{500}$, is $\sqrt[3]{2}$
$=\sqrt[3]{5 \times 2 \times 5 \times 2 \times 5}$
$=\sqrt[3]{5 \times 5 \times 5 \times 2 \times 2}$
$=5 \sqrt[3]{2 \times 2}$
$=5 \sqrt[3]{4}$
The simplest rationalising factor of $\sqrt[3]{500}$, is $\sqrt[3]{2}$
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
If $p(x) = x + 3$, then $p(x) + p(-x)$ is equal to:
→When $p(x)=4 x^3-12 x^2+11 x-5$ is divided by $(2 x-1)$, the remainder is:
→The figure formed by joining the mid$-$points of the adjacent sides of a rectangle is $a:$
→In the given figure, $AOB$ is a diameter of a circle and $CD || AB.$ If $\angle\text{BAD}=30^\circ$ then $\angle\text{CAD}=?$
→$\sqrt{12} \times \sqrt{15}=$
→A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is:
In Fig. $A O B$ is a straight line. If $\angle A O C+\angle B O D=85^{\circ}$, then $\angle C O D=$
→The expression $(a - b)^3 + (b - c)^3 + (c - a)^3$ can be factorized as:
→If two circles are equal, then their radii are $...........$
→In $\triangle A B C$, if $\angle A=100^{\circ}, A D$ bisects $\angle A$ and $A D \perp B C$. Then, $\angle B=$
→