If sqrt{12} = 3.464,the value of sqrt{frac{3} | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given: $\sqrt{12} = 3.464$.We need to evaluate $\sqrt{\frac{3}{4}} + 2 \sqrt{\frac{4}{3}}$.Simplify the terms:$\sqrt{\frac{3}{4}} = \frac{\sqrt{3}

Vedclass · Accepted Answer

$3.1753$

Vedclass · Answer

(C) Given: $\sqrt{12} = 3.464$.We need to evaluate $\sqrt{\frac{3}{4}} + 2 \sqrt{\frac{4}{3}}$.Simplify the terms:$\sqrt{\frac{3}{4}} = \frac{\sqrt{3}}{2} = \frac{\sqrt{3} 	imes 2}{2 	imes 2} = \frac{\sqrt{12}}{4}$.$2 \sqrt{\frac{4}{3}} = 2 	imes \frac{2}{\sqrt{3}} = \frac{4}{\sqrt{3}} = \frac{4 	imes \sqrt{3}}{3} = \frac{4 	imes \sqrt{3} 	imes 4}{3 	imes 4} = \frac{16 \sqrt{3}}{12} = \frac{8 \sqrt{12}}{12} = \frac{2 \sqrt{12}}{3}$.Adding them together:$\frac{\sqrt{12}}{4} + \frac{2 \sqrt{12}}{3} = \sqrt{12} \left( \frac{1}{4} + \frac{2}{3} ight) = \sqrt{12} \left( \frac{3 + 8}{12} ight) = \sqrt{12} \left( \frac{11}{12} ight)$.Substitute $\sqrt{12} = 3.464$:$= 3.464 	imes \frac{11}{12} = \frac{38.104}{12} = 3.175333... \approx 3.1753$.

If $\sqrt{12} = 3.464$,the value of $\sqrt{\frac{3}{4}} + 2 \sqrt{\frac{4}{3}}$ is

Similar Questions

Find the smallest number by which $5808$ should be multiplied so that the product becomes a perfect square.

$\left(\frac{\sqrt{625}}{11} \times \frac{14}{\sqrt{25}} \times \frac{11}{\sqrt{196}}\right)$ is equal to

$\sqrt{0.01+\sqrt{0.0064}}=?$

If $\sqrt{1+\frac{x}{961}}=\frac{32}{31},$ then the value of $x$ is

In the following questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and give the answer.
$I$: $\frac{5}{7} - \frac{5}{21} = \frac{\sqrt{x}}{42}$
$II$: $\frac{\sqrt{y}}{4} + \frac{\sqrt{y}}{16} = \frac{250}{\sqrt{y}}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module