What is (sqrt(10)-sqrt(3))/(sqrt(10)+\sqrt{3)} ?

The solution to (sqrt(10)-sqrt(3))/(sqrt(10)+\sqrt{3)} is (13-2sqrt(30))/7

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simplify (sqrt(10)-sqrt(3))/(sqrt(10)+\sqrt{3)}

simplify

\frac{10 - 3}{10 + 3}

\frac{13 - 2 30}{7}

Decimal Notation

0.29222 \dots

Solution steps

\frac{10 - 3}{10 + 3}

Multiply by the conjugate

\frac{10 - 3}{10 - 3}

= \frac{( 10 - 3 ) ( 10 - 3 )}{( 10 + 3 ) ( 10 - 3 )}

Expand

(10 - 3) (10 - 3) : 13 - 230

Expand

(10 + 3) (10 - 3) : 7

= \frac{13 - 2 30}{7}

(2 x - 9) (x + 6)

(3 + 22 - 1)^{2}

sec (θ) cot (θ) sin (θ)

(3 x^{2} + 5 x - 8) + (5 x^{2} - 13 x - 5)

20.3 - 16 \div 4

What is (sqrt(10)-sqrt(3))/(sqrt(10)+\sqrt{3)} ?
The solution to (sqrt(10)-sqrt(3))/(sqrt(10)+\sqrt{3)} is (13-2sqrt(30))/7