What is sqrt(1 4/5)*sqrt(0.2) ?

The solution to sqrt(1 4/5)*sqrt(0.2) is 3/5

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simplify sqrt(1 4/5)*sqrt(0.2)

simplify

1 \frac{4}{5} \cdot 0.2

\frac{3}{5}

Decimal Notation

0.6

Solution steps

1 \frac{4}{5} \cdot 0.2

Convert mixed numbers to improper fractions:

1 \frac{4}{5} = \frac{9}{5}

= \frac{9}{5} \cdot 0.2

0.2 = \frac{1}{5}

= \frac{9}{5} \frac{1}{5}

Apply radical rule:

a b = ab, a \geq 0, b \geq 0

\frac{9}{5} \frac{1}{5} = \frac{9}{5} \cdot \frac{1}{5}

= \frac{9}{5} \cdot \frac{1}{5}

\frac{9}{5} \cdot \frac{1}{5} = \frac{9}{25}

= \frac{9}{25}

\frac{9}{25} = \frac{3}{5}

= \frac{3}{5}

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