Question

· Simplify the following:
a) √189÷243
​

Answer 1

Answer:

0,05657501

Step-by-step explanation:

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Answer 2

We have:

$\sqrt{\dfrac{189}{243} }$

We have to find, the value of $\sqrt{\dfrac{189}{243} }$.

Solution:

∴ $\sqrt{\dfrac{189}{243} }$

= $\sqrt{\dfrac{3\times 3\times 3\times 7}{3\times 3\times 3\times 3\times 3} }$

= $\sqrt{\dfrac{7}{ 3\times 3} }$

= $\dfrac{\sqrt{7} }{3}$

∴ $\sqrt{\dfrac{189}{243} }$ = $\dfrac{\sqrt{7} }{3}$

Thus, the simplification of the give expression is $\dfrac{\sqrt{7} }{3}$.