Simplify \(\frac{525}{100}\) to \(\frac{21}{4}\).
\[\sqrt{{(\frac{21}{4})}^{2}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\sqrt{\frac{{21}^{2}}{{4}^{2}}}\]
Simplify \({21}^{2}\) to \(441\).
\[\sqrt{\frac{441}{{4}^{2}}}\]
Simplify \({4}^{2}\) to \(16\).
\[\sqrt{\frac{441}{16}}\]
Simplify.
\[\frac{\sqrt{441}}{\sqrt{16}}\]
Since \(21\times 21=441\), the square root of \(441\) is \(21\).
\[\frac{21}{\sqrt{16}}\]
Since \(4\times 4=16\), the square root of \(16\) is \(4\).
\[\frac{21}{4}\]
Decimal Form: 5.25
21/4
