What is (sqrt(5))/(5+sqrt(2)) ?

The solution to (sqrt(5))/(5+sqrt(2)) is (5sqrt(5)-sqrt(10))/(23)

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simplify (sqrt(5))/(5+sqrt(2))

simplify

\frac{5}{5 + 2}

\frac{5 5 - 10}{23}

Decimal Notation

0.34861 \dots

Solution steps

\frac{5}{5 + 2}

Multiply by the conjugate

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

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

Expand

5 (5 - 2) : 55 - 10

Expand

(5 + 2) (5 - 2) : 23

= \frac{5 5 - 10}{23}

2 (k + 4) - 3 k \leq 14

2 \cdot (\frac{1}{2})

3 x^{2} + \frac{7}{4} x + \frac{1}{8}

3 x^{2} + 20 x + 25

∣ x + 6 ∣ \leq 7

What is (sqrt(5))/(5+sqrt(2)) ?
The solution to (sqrt(5))/(5+sqrt(2)) is (5sqrt(5)-sqrt(10))/(23)