What is (sqrt(5)+3)/(4-sqrt(5)) ?

The solution to (sqrt(5)+3)/(4-sqrt(5)) is (7sqrt(5)+17)/(11)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(5)+3)/(4-sqrt(5))

simplify

\frac{5 + 3}{4 - 5}

\frac{7 5 + 17}{11}

Decimal Notation

2.96840 \dots

Solution steps

\frac{5 + 3}{4 - 5}

Multiply by the conjugate

\frac{4 + 5}{4 + 5}

= \frac{( 5 + 3 ) ( 4 + 5 )}{( 4 - 5 ) ( 4 + 5 )}

Expand

(5 + 3) (4 + 5) : 75 + 17

Expand

(4 - 5) (4 + 5) : 11

= \frac{7 5 + 17}{11}

5 x - 3 = 3 + 2 x

\frac{2 x}{3} - \frac{2 x - 1}{4} = 2

2 x (x - 3) = - 4

12 a^{3} - 75 a

\frac{( x + 1 )}{( x - 1 )} > 1

What is (sqrt(5)+3)/(4-sqrt(5)) ?
The solution to (sqrt(5)+3)/(4-sqrt(5)) is (7sqrt(5)+17)/(11)