Solve (2 sqrt(2 / 9)) - (3 sqrt(9 / 2))

Evaluate

(2 \frac{2}{9}) - (3 \frac{9}{2})

Simplify the root

More Steps

(2 \times \frac{2}{3}) - (3 \frac{9}{2})

Multiply the numbers

\frac{2 2}{3} - (3 \frac{9}{2})

Simplify the root

More Steps

\frac{2 2}{3} - (3 \times \frac{3 2}{2})

Multiply the numbers

More Steps

\frac{2 2}{3} - \frac{9 2}{2}

Reduce fractions to a common denominator

\frac{2 2 \times 2}{3 \times 2} - \frac{9 2 \times 3}{2 \times 3}

Multiply the numbers

\frac{2 2 \times 2}{6} - \frac{9 2 \times 3}{2 \times 3}

Multiply the numbers

\frac{2 2 \times 2}{6} - \frac{9 2 \times 3}{6}

Write all numerators above the common denominator

\frac{2 2 \times 2 - 9 2 \times 3}{6}

Multiply the terms

\frac{4 2 - 9 2 \times 3}{6}

Multiply the terms

\frac{4 2 - 27 2}{6}

Subtract the numbers

More Steps

\frac{- 23 2}{6}

Solution

- \frac{23 2}{6}

Alternative Form

\approx - 5.421152

(2 sqrt(2 / 9)) (3 sqrt(9 / 2))