What is sqrt(5 4/9*3 6/25) ?

The solution to sqrt(5 4/9*3 6/25) is 4 1/5

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simplify sqrt(5 4/9*3 6/25)

simplify

5 \frac{4}{9} \cdot 3 \frac{6}{25}

4 \frac{1}{5}

Decimal Notation

4.2

Solution steps

5 \frac{4}{9} \cdot 3 \frac{6}{25}

Convert mixed numbers to improper fractions:

5 \frac{4}{9} = \frac{49}{9}

= \frac{49}{9} \cdot 3 \frac{6}{25}

Convert mixed numbers to improper fractions:

3 \frac{6}{25} = \frac{81}{25}

= \frac{49}{9} \cdot \frac{81}{25}

Apply radical rule:

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

\frac{49}{9} \cdot \frac{81}{25} = \frac{49}{9} \frac{81}{25}

= \frac{49}{9} \frac{81}{25}

\frac{49}{9} = \frac{7}{3}

= \frac{7}{3} \frac{81}{25}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{81}{25} = \frac{81}{25}

= \frac{7}{3} \cdot \frac{81}{25}

81 = 9

= \frac{7}{3} \cdot \frac{9}{25}

25 = 5

= \frac{7}{3} \cdot \frac{9}{5}

\frac{7}{3} \cdot \frac{9}{5} = \frac{21}{5}

= \frac{21}{5}

Convert improper fractions to mixed numbers:

\frac{21}{5} = 4 \frac{1}{5}

= 4 \frac{1}{5}

400 x^{100}

1 0^{2} + 2 0^{2}

8 x^{2} + 10 x y + 3 y^{2}

(x^{2} + 3 x - 10) \frac{6}{3 x - 6}

\frac{x - 5}{4 x + 8} \cdot (12 x^{2} + 32 x + 16)