en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(sqrt(7)+1)

Solution

simplify

\frac{1}{7 + 1}

Solution

\frac{7 - 1}{6}

+1

Decimal Notation

0.27429 \dots

Solution steps

\frac{1}{7 + 1}

Multiply by the conjugate

\frac{7 - 1}{7 - 1}

= \frac{1 \cdot ( 7 - 1 )}{( 7 + 1 ) ( 7 - 1 )}

1 \cdot (7 - 1) = 7 - 1

(7 + 1) (7 - 1) = 6

= \frac{7 - 1}{6}

Popular Examples

simplify 4x^2+8x-11x+6-5x^2+2 simplify

4 x^{2} + 8 x - 11 x + 6 - 5 x^{2} + 2

simplify (30y-30y^2)/(y^{1/2)}simplify

\frac{30 y - 30 y ^{2}}{y ^{\frac{1}{2}}}

simplify (3p+6)/3 simplify

\frac{3 p + 6}{3}

simplify (9-2i)(10i-5)simplify

(9 - 2 i) (10 i - 5)

simplify (2/(sqrt(2))}{\frac{sqrt(2-1))/2}-4 simplify

\frac{\frac{2}{2}}{\frac{2 - 1}{2}} - 4

Frequently Asked Questions (FAQ)

What is 1/(sqrt(7)+1) ?
The solution to 1/(sqrt(7)+1) is (sqrt(7)-1)/6