What is 7/(sqrt(5)+\sqrt{2)} ?

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

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simplify 7/(sqrt(5)+\sqrt{2)}

simplify

\frac{7}{5 + 2}

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

Decimal Notation

1.91766 \dots

Solution steps

\frac{7}{5 + 2}

Multiply by the conjugate

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

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

Expand

7 (5 - 2) : 75 - 72

Expand

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

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

+ 4 - 2

(3 x^{2} - 6 x + 4) + (x^{2} - 2 x - 1)

- 3 + \frac{2}{3}

39 + 123

(3^{n}) (1 0^{n})

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