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

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

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

simplify

\frac{7}{7 - 2}

\frac{7 + 2 7}{3}

Decimal Notation

4.09716 \dots

Solution steps

\frac{7}{7 - 2}

Multiply by the conjugate

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

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

Expand

7 (7 + 2) : 7 + 27

Expand

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

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

4 x^{4} - 24 x^{2} - 108

25 - u^{2}

a (0) + b

- - 57

- - 46

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