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

The solution to (2sqrt(7)+3)/(sqrt(7)+2) is (8-sqrt(7))/3

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

simplify

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

\frac{8 - 7}{3}

Decimal Notation

1.78474 \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) : 8 - 7

Expand

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

= \frac{8 - 7}{3}

\frac{36 a ^{4} b ^{5} - 48 a ^{5} b ^{7} + 30 a ^{6} b ^{6}}{6 a ^{3} b ^{5}}

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

21 y \cdot 5 49 y

A (A + B)

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

What is (2sqrt(7)+3)/(sqrt(7)+2) ?
The solution to (2sqrt(7)+3)/(sqrt(7)+2) is (8-sqrt(7))/3