Question

find the square root of the following fraction 144 /221​

Answer 1

Answer:

$\sqrt{ \frac{144}{221} }$

$\sqrt{ \frac{144}{221} } = \frac{12}{21}$

$= \frac{4}{7}$

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Answer 2

The value of $\sqrt{\dfrac{144}{441} }$ is equal to $\dfrac{4}{7}$.

Step-by-step explanation:

We have,

$\sqrt{\dfrac{144}{441} }$

To find, the value of $\sqrt{\dfrac{144}{441} }$ = ?

∴ $\sqrt{\dfrac{144}{441} }$

$=\sqrt{\dfrac{12\times 12}{21\times 21}}$

= $\dfrac{12}{21}$

The HCF of 12 and 21 = 3

Dividing numerator and denominator by 3, we get

= $\dfrac{\dfrac{12}{3} }{\dfrac{21}{3} }$

= $\dfrac{4}{7}$

∴ The value of $\sqrt{\dfrac{144}{441} }$ = $\dfrac{4}{7}$

Thus, the value of $\sqrt{\dfrac{144}{441} }$ is equal to $\dfrac{4}{7}$.