What is (2+sqrt(14))/(sqrt(7)+\sqrt{2)} ?

The solution to (2+sqrt(14))/(sqrt(7)+\sqrt{2)} is square root of 2

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simplify (2+sqrt(14))/(sqrt(7)+\sqrt{2)}

simplify

\frac{2 + 14}{7 + 2}

2

Decimal Notation

1.41421 \dots

Solution steps

\frac{2 + 14}{7 + 2}

Multiply by the conjugate

\frac{7 - 2}{7 - 2}

= \frac{( 2 + 14 ) ( 7 - 2 )}{( 7 + 2 ) ( 7 - 2 )}

Expand

(2 + 14) (7 - 2) : 52

Expand

(7 + 2) (7 - 2) : 5

= \frac{5 2}{5}

Cancel the common factor:

5

= 2

x^{2} - 5 x - 13 = - 5 x - 4

30 + q^{2} = 396

2 x^{2} - 6 x + 3 \leq 0

1 - \frac{12}{52}

\frac{6}{7} x - \frac{1}{8} \leq \frac{11}{14} x - \frac{8}{7}

What is (2+sqrt(14))/(sqrt(7)+\sqrt{2)} ?
The solution to (2+sqrt(14))/(sqrt(7)+\sqrt{2)} is square root of 2