What is (sqrt(8/(0.52)))*(sqrt(0.118^2-0.078^2)) ?

The solution to (sqrt(8/(0.52)))*(sqrt(0.118^2-0.078^2)) is (14)/(5sqrt(65))

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simplify (sqrt(8/(0.52)))*(sqrt(0.118^2-0.078^2))

simplify

(\frac{8}{0.52}) \cdot (0.11 8^{2} - 0.07 8^{2})

\frac{14}{5 65}

Decimal Notation

0.34729 \dots

Solution steps

(\frac{8}{0.52}) (0.11 8^{2} - 0.07 8^{2})

(\frac{8}{0.52}) (0.11 8^{2} - 0.07 8^{2}) = \frac{8}{0.52} 0.11 8^{2} - 0.07 8^{2}

= \frac{8}{0.52} 0.11 8^{2} - 0.07 8^{2}

\frac{8}{0.52} = \frac{10 2}{13}

= \frac{10 2}{13} 0.11 8^{2} - 0.07 8^{2}

0.11 8^{2} - 0.07 8^{2} = \frac{7}{25 10}

= \frac{10 2}{13} \cdot \frac{7}{25 10}

\frac{10 2}{13} \cdot \frac{7}{25 10} = \frac{14}{5 65}

= \frac{14}{5 65}

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What is (sqrt(8/(0.52)))*(sqrt(0.118^2-0.078^2)) ?
The solution to (sqrt(8/(0.52)))*(sqrt(0.118^2-0.078^2)) is (14)/(5sqrt(65))