What is (sqrt(7))/(sqrt(10)-\sqrt{2)} ?

The solution to (sqrt(7))/(sqrt(10)-\sqrt{2)} is (sqrt(70)+sqrt(14))/8

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simplify (sqrt(7))/(sqrt(10)-\sqrt{2)}

simplify

\frac{7}{10 - 2}

\frac{70 + 14}{8}

Decimal Notation

1.51353 \dots

Solution steps

\frac{7}{10 - 2}

Multiply by the conjugate

\frac{10 + 2}{10 + 2}

= \frac{7 ( 10 + 2 )}{( 10 - 2 ) ( 10 + 2 )}

Expand

7 (10 + 2) : 70 + 14

Expand

(10 - 2) (10 + 2) : 8

= \frac{70 + 14}{8}

2 x^{2} + 8 = 12 x

4 x^{2} + 10 = 0

x^{3} + 729

\frac{- 20}{- 4}

x^{2} + 3 x - 20 = 0

What is (sqrt(7))/(sqrt(10)-\sqrt{2)} ?
The solution to (sqrt(7))/(sqrt(10)-\sqrt{2)} is (sqrt(70)+sqrt(14))/8