What is (2-sqrt(7))/(sqrt(7)-4) ?

The solution to (2-sqrt(7))/(sqrt(7)-4) is -(-2sqrt(7)+1)/9

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simplify (2-sqrt(7))/(sqrt(7)-4)

simplify

\frac{2 - 7}{7 - 4}

- \frac{- 2 7 + 1}{9}

Decimal

0.47683 \dots

Solution steps

\frac{2 - 7}{7 - 4}

Multiply by the conjugate

\frac{7 + 4}{7 + 4}

= \frac{( 2 - 7 ) ( 7 + 4 )}{( 7 - 4 ) ( 7 + 4 )}

Expand

(2 - 7) (7 + 4) : - 27 + 1

Expand

(7 - 4) (7 + 4) : - 9

= \frac{- 2 7 + 1}{- 9}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{- 2 7 + 1}{9}

\frac{( y ^{2} + y )}{y ^{2} - 1}

\frac{5}{6} \div \frac{5}{12}

4 x^{2} - 9

(4 x^{0})^{4}

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What is (2-sqrt(7))/(sqrt(7)-4) ?
The solution to (2-sqrt(7))/(sqrt(7)-4) is -(-2sqrt(7)+1)/9