What is (15+sqrt(5))/(6sqrt(5)) ?

The solution to (15+sqrt(5))/(6sqrt(5)) is (3sqrt(5)+1)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (15+sqrt(5))/(6sqrt(5))

simplify

\frac{15 + 5}{6 5}

\frac{3 5 + 1}{6}

Decimal Notation

1.28470 \dots

Solution steps

\frac{15 + 5}{6 5}

Multiply by the conjugate

\frac{5}{5}

= \frac{( 15 + 5 ) 5}{6 5 5}

(15 + 5) 5 = 155 + 5

655 = 30

= \frac{15 5 + 5}{30}

Factor

155 + 5 : 5 (35 + 1)

= \frac{5 ( 3 5 + 1 )}{30}

Cancel the common factor:

5

= \frac{3 5 + 1}{6}

2 x^{3} + 162

\frac{π}{π}

8 x 200 x^{5} - 6 x^{2} 2 x^{3}

What is (15+sqrt(5))/(6sqrt(5)) ?
The solution to (15+sqrt(5))/(6sqrt(5)) is (3sqrt(5)+1)/6