Solve (2 * (3 / sqrt(6))) / ((1 - (3 / sqrt(6)))^2)

Question

Calculate the value

106 + 24

Alternative Form

\approx 48.494897

Evaluate

\frac{2 ( \frac{3}{6} )}{( 1 - ( \frac{3}{6} ) ) ^{2}}

Remove the unnecessary parentheses

\frac{2 \times \frac{3}{6}}{( 1 - ( \frac{3}{6} ) ) ^{2}}

Remove the unnecessary parentheses

\frac{2 \times \frac{3}{6}}{( 1 - \frac{3}{6} ) ^{2}}

Subtract the numbers

More Steps

\frac{2 \times \frac{3}{6}}{( \frac{2 - 6}{2} ) ^{2}}

Multiply the numbers

More Steps

\frac{\frac{6}{6}}{( \frac{2 - 6}{2} ) ^{2}}

Evaluate the power

More Steps

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

Multiply by the reciprocal

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

To multiply the fractions,multiply the numerators and denominators separately

\frac{6 \times 2}{6 \times ( 5 - 2 6 )}

Multiply the numbers

\frac{12}{6 \times ( 5 - 2 6 )}

Multiply the numbers

More Steps

\frac{12}{5 6 - 12}

Multiply by the Conjugate

\frac{12 ( 5 6 + 12 )}{( 5 6 - 12 ) ( 5 6 + 12 )}

Multiply the numbers

More Steps

\frac{12 ( 5 6 + 12 )}{6}

Factor the expression

\frac{2 ( 5 6 + 12 ) \times 6}{6}

Reduce the fraction

2 (56 + 12)

Apply the distributive property

2 \times 56 + 2 \times 12

Multiply the terms

106 + 2 \times 12

Solution

106 + 24

Alternative Form

\approx 48.494897

Show Solution