What is (3sqrt(7)-5)/(sqrt(7)+2) ?

The solution to (3sqrt(7)-5)/(sqrt(7)+2) is (31-11sqrt(7))/3

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simplify (3sqrt(7)-5)/(sqrt(7)+2)

simplify

\frac{3 7 - 5}{7 + 2}

\frac{31 - 11 7}{3}

Decimal Notation

0.63224 \dots

Solution steps

\frac{3 7 - 5}{7 + 2}

Multiply by the conjugate

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

= \frac{( 3 7 - 5 ) ( 7 - 2 )}{( 7 + 2 ) ( 7 - 2 )}

Expand

(37 - 5) (7 - 2) : 31 - 117

Expand

(7 + 2) (7 - 2) : 3

= \frac{31 - 11 7}{3}

6 x^{4} - 18 x^{3} + 12 x^{2}

\frac{7}{6} \div \frac{10}{3}

x^{2 - 9}

(1 + i) + (5 - i)

9 w^{2} - 12 w + 4

What is (3sqrt(7)-5)/(sqrt(7)+2) ?
The solution to (3sqrt(7)-5)/(sqrt(7)+2) is (31-11sqrt(7))/3