Question

if
$\sqrt{33 } = 5.643 \: then \: the \: value \: of \: \sqrt{3 \div 11} is$
​

Answer 1

Answer:

0.513

Step-by-step explanation:

$\sqrt{\frac{3}{11} }=\frac{\sqrt{3} }{\sqrt{11} }=\frac{\sqrt{33} }{11}$

It is given that $\sqrt{33}=5.643$.

$\frac{5.643}{11}=\frac{5643}{11000}=\frac{513}{1000} =0.513$

∴$0.513$

Answer 2

The value of $\dsqrt{3\div 11}$ is 0.513.

Step-by-step explanation:

Given problem,

$\sqrt{3\div 11}$

or

$\sqrt{\frac{3}{11}}$

$=\frac{\sqrt{3}}{\sqrt{11}}$

For rationalizing denominator,

Multiply both numerator and denominator by $\sqrt{11}$,

$=\frac{\sqrt{3}\times \sqrt{11}}{\sqrt{11}\times \sqrt{11}}$

$=\frac{\sqrt{33}}{11}$

We have, √33 = 5.643,

$=\frac{5.643}{11}$

=0.513

Hence, the value of $\sqrt{3\div 11}$ is 0.513.

Note: $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$, $\sqrt{a}\times \sqrt{b}=\sqrt{ab}$

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