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Find the Square Root Of: 23 394 729 - Mathematics

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प्रश्न

Find the square root of:

\[23\frac{394}{729}\]

उत्तर

We know:

\[\sqrt{23\frac{394}{729}} = \sqrt{\frac{17161}{729}} = \frac{\sqrt{17161}}{\sqrt{729}}\]

Now, let us compute the square roots of the numerator and the denominator separately.

\[\sqrt{729} = 27\]
\[ \therefore \sqrt{23\frac{394}{729}} = \frac{131}{27} = 4\frac{23}{27}\]

 

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पाठ 3: Squares and Square Roots - Exercise 3.6 [पृष्ठ ४८]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 3 Squares and Square Roots
Exercise 3.6 | Q 1.13 | पृष्ठ ४८

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