What is (sqrt(14))/(sqrt(5)-2) ?

The solution to (sqrt(14))/(sqrt(5)-2) is sqrt(70)+2sqrt(14)

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simplify (sqrt(14))/(sqrt(5)-2)

simplify

\frac{14}{5 - 2}

70 + 214

Decimal Notation

15.84991 \dots

Solution steps

\frac{14}{5 - 2}

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

= \frac{14 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

Expand

14 (5 + 2) : 70 + 214

Expand

(5 - 2) (5 + 2) : 1

= \frac{70 + 2 14}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 70 + 214

5 x + 2 - x + 10

\frac{25 x y ^{2} z}{5 x y}

(3 x + 2 y) (x + 3 y)

5 e^{\frac{π}{4} i}

What is (sqrt(14))/(sqrt(5)-2) ?
The solution to (sqrt(14))/(sqrt(5)-2) is sqrt(70)+2sqrt(14)