What is (sqrt(5)+sqrt(2))/(sqrt(5)-\sqrt{2)} ?

The solution to (sqrt(5)+sqrt(2))/(sqrt(5)-\sqrt{2)} is (7+2sqrt(10))/3

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simplify (sqrt(5)+sqrt(2))/(sqrt(5)-\sqrt{2)}

simplify

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

\frac{7 + 2 10}{3}

Decimal Notation

4.44151 \dots

Solution steps

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

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

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

Expand

(5 + 2) (5 + 2) : 7 + 210

Expand

(5 - 2) (5 + 2) : 3

= \frac{7 + 2 10}{3}

5 = w + 12

3 x^{2} - 6 = - 6 x

6 y^{2} - 66 y - 72

16 + 4 x^{2} = 0

m^{2} + 6 m - 16 = 0

What is (sqrt(5)+sqrt(2))/(sqrt(5)-\sqrt{2)} ?
The solution to (sqrt(5)+sqrt(2))/(sqrt(5)-\sqrt{2)} is (7+2sqrt(10))/3