What is (3sqrt(2)-sqrt(5))/(2sqrt(5)+\sqrt{2)} ?

The solution to (3sqrt(2)-sqrt(5))/(2sqrt(5)+\sqrt{2)} is (7sqrt(10)-16)/(18)

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Popular >

simplify (3sqrt(2)-sqrt(5))/(2sqrt(5)+\sqrt{2)}

simplify

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

\frac{7 10 - 16}{18}

Decimal Notation

0.34088 \dots

Solution steps

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

Multiply by the conjugate

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

= \frac{( 3 2 - 5 ) ( 2 5 - 2 )}{( 2 5 + 2 ) ( 2 5 - 2 )}

Expand

(32 - 5) (25 - 2) : 710 - 16

Expand

(25 + 2) (25 - 2) : 18

= \frac{7 10 - 16}{18}

8 (y - 7) = - 2 (y + 3)

x^{4} + 8 x^{2} - 9

\frac{2}{5} \cdot 4

0.7 \cdot x + 0.5 \cdot 100 = 0.62 (100 - x)

∣ x + 1 ∣ \geq - 8

What is (3sqrt(2)-sqrt(5))/(2sqrt(5)+\sqrt{2)} ?
The solution to (3sqrt(2)-sqrt(5))/(2sqrt(5)+\sqrt{2)} is (7sqrt(10)-16)/(18)