Evaluate: √625/729

Question:

Evaluate:

$\sqrt{\frac{625}{729}}$

Solution:

$\sqrt{\frac{625}{729}}=\frac{\sqrt{625}}{\sqrt{729}}$

Using long division method:

$\sqrt{625}=25$

$\sqrt{729}=27$

$\therefore \sqrt{\frac{625}{729}}=\frac{\sqrt{625}}{\sqrt{729}}=\frac{25}{27}$

 

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