What is (sqrt(8)+2)/(7+sqrt(7)) ?

The solution to (sqrt(8)+2)/(7+sqrt(7)) is (7sqrt(2)-sqrt(14)+7-sqrt(7))/(21)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(8)+2)/(7+sqrt(7))

simplify

\frac{8 + 2}{7 + 7}

\frac{7 2 - 14 + 7 - 7}{21}

Solution steps

\frac{8 + 2}{7 + 7}

8 = 22

= \frac{2 2 + 2}{7 + 7}

Multiply by the conjugate

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

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

Expand

(22 + 2) (7 - 7) : 142 - 214 + 14 - 27

Expand

(7 + 7) (7 - 7) : 42

= \frac{14 2 - 2 14 + 14 - 2 7}{42}

Factor out common term

2 : 2 (72 - 14 + 7 - 7)

= \frac{2 ( 7 2 - 14 + 7 - 7 )}{42}

Factor the number:

42 = 2 \cdot 21

= \frac{2 ( 7 2 - 14 + 7 - 7 )}{2 \cdot 21}

Cancel the common factor:

2

= \frac{7 2 - 14 + 7 - 7}{21}

10 h^{2} - 9 h - 9

91

\frac{13 - 10.6}{5.27257}

5 (a - 1) - 15 = 3 (a + 2) + 4

34 x^{3} z^{2} + 6 x^{6} y^{3} z

What is (sqrt(8)+2)/(7+sqrt(7)) ?
The solution to (sqrt(8)+2)/(7+sqrt(7)) is (7sqrt(2)-sqrt(14)+7-sqrt(7))/(21)