Question
The value of $\frac{4\sqrt{12}}{12\sqrt{27}}$ is:
✓
Answer
- $\frac{2}{9}$
Solution:
$\frac{4\sqrt{12}}{12\sqrt{27}}$
$=\frac{4\sqrt{4\times3}}{12\sqrt{9\times3}}$
$=\frac{8\sqrt{3}}{36\sqrt{3}}$
$=\sqrt{\frac{(\sqrt{2}-1)^2}{2-1}}$
$=\sqrt{(\sqrt{2}-1)^2}$
$=1.414-1$
$=0.414$
$=\frac{2}{9}$
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 TSA of a solid cylinder whose radius is half of its height h is equal to:
If $\frac{\text{x}}{\text{y}}+\frac{\text{y}}{\text{x}}=+1,$ where $\text{x},\ \text{y}\neq0$ then the value of $(x^3 - y^3)$ is:
→If each edge of a cuboid of surface area S is doubled, then surface area of the new cuboid is.
If $8=\text{t}^{\frac{2}{3}}+4\text{t}^{-\frac{1}{2}},$ What is the value of g when t = 64?
→- $\frac{31}{2}$
- $\frac{33}{2}$
- $16$
- $\frac{257}{16}$
A sphere of diameter 12.6cm is melted and cast into a right circular cone of height 25.2cm. The radius of the base of the cone is:
The figure forms by joining the mid-points of the sides of a Rhombus, taken in order are:
Zero of the zero polynomial is:
The things which are double of the same things are: