What is (sqrt(5)+sqrt(125))/(sqrt(3)-2) ?

The solution to (sqrt(5)+sqrt(125))/(sqrt(3)-2) is -(6sqrt(3)+12)sqrt(5)

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simplify (sqrt(5)+sqrt(125))/(sqrt(3)-2)

simplify

\frac{5 + 125}{3 - 2}

- (63 + 12) 5

Decimal Notation

- 50.07071 \dots

Solution steps

\frac{5 + 125}{3 - 2}

5 + 125 = 65

= \frac{6 5}{3 - 2}

Multiply by the conjugate

\frac{3 + 2}{3 + 2}

= \frac{6 ( 3 + 2 ) 5}{( 3 - 2 ) ( 3 + 2 )}

Expand

6 (3 + 2) : 63 + 12

Expand

(3 - 2) (3 + 2) : - 1

= \frac{( 6 3 + 12 ) 5}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (63 + 12) 5

\frac{x ^{3} y ^{2}}{x y} - \frac{y}{2 x ^{2}} + \frac{x}{y}

(x + 7) (x - 1) + 16

\frac{2}{4 - 5}

36 x^{4} - 48 x^{6} - 72 x^{3} + 60 x^{5}

lo g_{10} (\frac{5}{3})

What is (sqrt(5)+sqrt(125))/(sqrt(3)-2) ?
The solution to (sqrt(5)+sqrt(125))/(sqrt(3)-2) is -(6sqrt(3)+12)sqrt(5)