What is sqrt(2 7/9) ?

The solution to sqrt(2 7/9) is 1 2/3

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simplify sqrt(2 7/9)

simplify

2 \frac{7}{9}

1 \frac{2}{3}

Decimal Notation

1.66666 \dots

Solution steps

2 \frac{7}{9}

Convert mixed numbers to improper fractions:

2 \frac{7}{9} = \frac{25}{9}

= \frac{25}{9}

Apply radical rule:

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

= \frac{25}{9}

25 = 5

= \frac{5}{9}

9 = 3

= \frac{5}{3}

Convert improper fractions to mixed numbers:

\frac{5}{3} = 1 \frac{2}{3}

= 1 \frac{2}{3}

26 \times 3

\frac{2}{3} + \frac{2}{15}

\frac{5}{6} - \frac{3}{2}

\frac{16}{24}

- 2 \cdot - 22