en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(2+sqrt(3))

Solution

simplify

\frac{1}{2 + 3}

Solution

2 - 3

+1

Solution steps

\frac{1}{2 + 3}

Multiply by the conjugate

\frac{2 - 3}{2 - 3}

= \frac{1 \cdot ( 2 - 3 )}{( 2 + 3 ) ( 2 - 3 )}

1 \cdot (2 - 3) = 2 - 3

(2 + 3) (2 - 3) = 1

= \frac{2 - 3}{1}

Apply rule

\frac{a}{1} = a

= 2 - 3

Popular Examples

3 x^{2} - 2 x - 8 = 0

-6(n-1)<= 60\lor 4+n<8

- 6 (n - 1) \leq 60 or 4 + n < 8

-1/2 x^2+9/4 x-1=0

- \frac{1}{2} x^{2} + \frac{9}{4} x - 1 = 0

simplify (9x^4y^2)/(6x^8y)simplify

\frac{9 x ^{4} y ^{2}}{6 x ^{8} y}

factor 3x^3-3x^2-18x factor

3 x^{3} - 3 x^{2} - 18 x

Frequently Asked Questions (FAQ)

What is 1/(2+sqrt(3)) ?
The solution to 1/(2+sqrt(3)) is 2-sqrt(3)