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The value of \(\frac{{112}}{{\sqrt {196} }} \times \frac{{\sqrt {576} }}{{12}} \times \frac{{\sqrt {256} }}{8}\) is
1. 32
2. 36
3. 28
4. 24

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Correct Answer - Option 1 : 32

Given:

\(\frac{{112}}{{\sqrt {196} }} × \frac{{\sqrt {576} }}{{12}} × \frac{{\sqrt {256} }}{8}\)

Calculations:

According to the question, we have

⇒ \(\frac{{112}}{{\sqrt {196} }} × \frac{{\sqrt {576} }}{{12}} × \frac{{\sqrt {256} }}{8}\)

⇒ \(\frac{{112}}{{\ {14} }} × \frac{{\ {24} }}{{12}} × \frac{{\ {16} }}{8}\)

⇒ 8 × 2 × 2

⇒ 32

∴ The value of  \(\frac{{112}}{{\sqrt {196} }} \times \frac{{\sqrt {576} }}{{12}} \times \frac{{\sqrt {256} }}{8}\) is 32.

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