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

The solution to (2sqrt(7)+3)/(sqrt(7)-2) is (20+7sqrt(7))/3

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

simplify

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

\frac{20 + 7 7}{3}

Decimal Notation

12.84008 \dots

Solution steps

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

Multiply by the conjugate

\frac{7 + 2}{7 + 2}

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

Expand

(27 + 3) (7 + 2) : 20 + 77

Expand

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

= \frac{20 + 7 7}{3}

21 y \cdot 5 49 y

A (A + B)

\frac{6 ab}{( a ^{0} b ^{2} ) ^{4}}

(12 - 9 n^{2} + 5 n^{3}) - (- 11 n^{3} - 4 n^{2} + 6 n)

e^{x^{2} + 5 l n (x)}

What is (2sqrt(7)+3)/(sqrt(7)-2) ?
The solution to (2sqrt(7)+3)/(sqrt(7)-2) is (20+7sqrt(7))/3